Interactive Algebra & Trigonometry - A Self Guided Study Companion

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`100%`	file	data	default
`100%`	gt2	Kopftext: 'TUTOR 06'	default (weak)
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|00000e20| 61 70 70 72 6f 78 69 6d | 61 74 65 6c 79 20 73 69 |approxim|ately si|
|00000e30| 78 20 66 65 65 74 2e 0d | 0a 00 00 17 4f 04 0d 0b |x feet..|....O...|
|00000e40| 00 57 72 6f 6e 67 2e 20 | 20 49 74 20 69 73 20 70 |.Wrong. | It is p|
|00000e50| 6f 73 73 69 62 6c 65 20 | 74 6f 20 66 69 6e 64 20 |ossible |to find |
|00000e60| 74 68 65 20 6c 65 6e 67 | 74 68 20 6f 66 20 74 68 |the leng|th of th|
|00000e70| 65 20 62 72 61 63 65 20 | 11 33 64 11 31 2e 20 20 |e brace |.3d.1.  |
|00000e80| 54 72 79 20 61 67 61 69 | 6e 2e 20 20 0d 0a 00 53 |Try agai|n.  ...S|
|00000e90| 74 61 72 74 20 62 79 20 | 75 73 69 6e 67 20 74 68 |tart by |using th|
|00000ea0| 65 20 4c 61 77 20 6f 66 | 20 53 69 6e 65 73 20 74 |e Law of| Sines t|
|00000eb0| 6f 20 66 69 6e 64 20 11 | 33 41 11 31 2e 0d 0a 00 |o find .|3A.1....|
|00000ec0| 00 17 4f 09 0d 0b 00 57 | 72 6f 6e 67 2e 20 20 54 |..O....W|rong.  T|
|00000ed0| 6f 77 65 72 20 11 33 42 | 20 11 31 69 73 20 63 6c |ower .3B| .1is cl|
|00000ee0| 6f 73 65 73 74 20 74 6f | 20 74 68 65 20 66 69 72 |osest to| the fir|
|00000ef0| 65 2e 20 20 4c 65 74 74 | 69 6e 67 20 11 33 61 20 |e.  Lett|ing .3a |
|00000f00| 11 31 62 65 20 74 68 65 | 20 64 69 73 74 61 6e 63 |.1be the| distanc|
|00000f10| 65 20 66 72 6f 6d 0d 0a | 00 20 20 20 20 20 20 20 |e from..|.       |
|00000f20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000f30| 20 11 33 61 20 20 20 20 | 20 20 20 20 20 11 31 31 | .3a    |     .11|
|00000f40| 38 2e 35 0d 0b 00 54 6f | 77 65 72 20 11 33 42 20 |8.5...To|wer .3B |
|00000f50| 11 31 74 6f 20 74 68 65 | 20 66 69 72 65 2c 20 11 |.1to the| fire, .|
|00000f60| 34 32 32 32 32 32 32 32 | 20 11 31 3d 20 11 34 32 |42222222| .1= .42|
|00000f70| 32 32 32 32 32 32 32 32 | 11 31 2c 20 73 6f 20 11 |22222222|.1, so .|
|00000f80| 33 61 20 11 34 7e 20 11 | 31 31 35 2e 39 20 6d 69 |3a .4~ .|115.9 mi|
|00000f90| 6c 65 73 2e 20 20 4c 65 | 74 74 69 6e 67 20 11 33 |les.  Le|tting .3|
|00000fa0| 62 20 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |b ...   |        |
|00000fb0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000fc0| 11 34 6f 20 20 20 20 20 | 20 20 20 20 20 20 6f 0d |.4o     |      o.|
|00000fd0| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |..      |        |
|00000fe0| 20 20 20 20 20 20 20 11 | 31 73 69 6e 20 33 37 20 |       .|1sin 37 |
|00000ff0| 20 20 20 73 69 6e 20 34 | 34 2e 35 0d 0a 00 20 20 |   sin 4|4.5...  |
|00001000| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001010| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001020| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 33 62 20 |        |    .3b |
|00001030| 20 20 20 20 20 20 20 20 | 20 11 31 31 38 2e 35 0d |        | .118.5.|
|00001040| 0b 00 62 65 20 74 68 65 | 20 64 69 73 74 61 6e 63 |..be the| distanc|
|00001050| 65 20 66 72 6f 6d 20 54 | 6f 77 65 72 20 11 33 41 |e from T|ower .3A|
|00001060| 20 11 31 74 6f 20 74 68 | 65 20 66 69 72 65 2c 20 | .1to th|e fire, |
|00001070| 11 34 32 32 32 32 32 32 | 32 32 32 20 11 31 3d 20 |.4222222|222 .1= |
|00001080| 11 34 32 32 32 32 32 32 | 32 32 32 11 31 2c 20 73 |.4222222|222.1, s|
|00001090| 6f 20 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |o ...   |        |
|000010a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000010b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000010c0| 20 20 20 20 20 20 20 11 | 34 6f 20 20 20 20 20 20 |       .|4o      |
|000010d0| 20 20 20 20 20 6f 0d 0b | 00 20 20 20 20 20 20 20 |     o..|.       |
|000010e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000010f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001100| 20 20 20 11 31 73 69 6e | 20 39 38 2e 35 20 20 20 |   .1sin| 98.5   |
|00001110| 20 73 69 6e 20 34 34 2e | 35 0d 0a 00 11 33 62 20 | sin 44.|5....3b |
|00001120| 11 34 7e 20 11 31 32 36 | 2e 31 20 6d 69 6c 65 73 |.4~ .126|.1 miles|
|00001130| 2e 0d 0a 00 00 17 4f 04 | 0d 0b 00 56 65 72 79 20 |......O.|...Very |
|00001140| 67 6f 6f 64 2e 20 20 54 | 6f 77 65 72 20 11 33 42 |good.  T|ower .3B|
|00001150| 20 11 31 69 73 20 31 35 | 2e 39 20 6d 69 6c 65 73 | .1is 15|.9 miles|
|00001160| 20 66 72 6f 6d 20 74 68 | 65 20 66 69 72 65 20 61 | from th|e fire a|
|00001170| 6e 64 20 54 6f 77 65 72 | 20 11 33 41 20 11 31 69 |nd Tower| .3A .1i|
|00001180| 73 20 32 36 2e 31 20 6d | 69 6c 65 73 0d 0a 00 66 |s 26.1 m|iles...f|
|00001190| 72 6f 6d 20 74 68 65 20 | 66 69 72 65 2e 0d 0a 00 |rom the |fire....|
|000011a0| 00 17 4f 06 0d 0b 00 53 | 6f 72 72 79 2c 20 74 68 |..O....S|orry, th|
|000011b0| 69 73 20 6f 6e 65 20 69 | 73 20 63 6f 72 72 65 63 |is one i|s correc|
|000011c0| 74 2e 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 20 |t....   |        |
|000011d0| 20 20 20 20 20 20 11 34 | 28 20 20 20 20 20 20 20 |      .4|(       |
|000011e0| 29 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |)...    |        |
|000011f0| 20 20 20 6f 20 21 20 20 | 11 31 34 2e 35 20 20 11 |   o !  |.14.5  .|
|00001200| 34 21 0d 0b 00 20 20 20 | 20 20 11 33 62 20 11 31 |4!...   |  .3b .1|
|00001210| 3d 20 73 69 6e 20 36 30 | 20 20 11 34 21 32 32 32 |= sin 60|  .4!222|
|00001220| 32 32 32 32 21 20 7e 20 | 11 31 32 32 2e 34 0d 0b |2222! ~ |.122.4..|
|00001230| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00001240| 20 20 11 34 21 20 20 20 | 20 20 20 6f 21 0d 0b 00 |  .4!   |   o!...|
|00001250| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001260| 20 21 11 31 73 69 6e 20 | 31 30 20 11 34 21 0d 0b | !.1sin |10 .4!..|
|00001270| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00001280| 20 20 39 20 20 20 20 20 | 20 20 30 0d 0a 00 00 17 |  9     |  0.....|
|00001290| 4f 05 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |O....   |        |
|000012a0| 20 20 20 20 20 20 20 20 | 20 11 34 28 20 20 20 20 |        | .4(    |
|000012b0| 20 20 20 29 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |   )... |        |
|000012c0| 20 20 20 20 20 20 20 20 | 20 6f 20 21 20 20 11 31 |        | o !  .1|
|000012d0| 34 2e 35 20 20 11 34 21 | 0d 0b 00 11 31 47 6f 6f |4.5  .4!|....1Goo|
|000012e0| 64 2e 20 20 11 33 63 20 | 11 31 3d 20 73 69 6e 20 |d.  .3c |.1= sin |
|000012f0| 31 31 30 20 20 11 34 21 | 32 32 32 32 32 32 32 21 |110  .4!|2222222!|
|00001300| 20 7e 20 11 31 32 34 2e | 34 2e 0d 0b 00 20 20 20 | ~ .124.|4....   |
|00001310| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001320| 20 11 34 21 20 20 20 20 | 20 20 6f 21 0d 0b 00 20 | .4!    |  o!... |
|00001330| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001340| 20 20 20 21 11 31 73 69 | 6e 20 31 30 20 11 34 21 |   !.1si|n 10 .4!|
|00001350| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|00001360| 20 20 20 20 20 20 20 39 | 20 20 20 20 20 20 20 30 |       9|       0|
|00001370| 0d 0a 00 00 17 4f 03 20 | 20 20 20 20 20 20 20 20 |.....O. |        |
|00001380| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001390| 20 20 20 20 20 20 20 20 | 20 20 20 11 34 6f 20 20 |        |   .4o  |
|000013a0| 20 20 20 20 6f 20 20 20 | 20 20 6f 20 20 20 20 20 |    o   |  o     |
|000013b0| 20 20 6f 0d 0b 00 11 31 | 53 6f 72 72 79 2c 20 74 |  o....1|Sorry, t|
|000013c0| 68 69 73 20 6f 6e 65 20 | 69 73 20 63 6f 72 72 65 |his one |is corre|
|000013d0| 63 74 2e 20 20 11 33 43 | 20 11 31 3d 20 31 38 30 |ct.  .3C| .1= 180|
|000013e0| 20 20 2d 20 28 31 30 20 | 20 2b 20 36 30 20 29 20 |  - (10 | + 60 ) |
|000013f0| 3d 20 31 31 30 20 2e 0d | 0a 00 00 17 4f 05 0d 0b |= 110 ..|....O...|
|00001400| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00001410| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001420| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 |        |       .|
|00001430| 34 28 20 20 20 20 20 20 | 20 29 0d 0b 00 20 20 20 |4(      | )...   |
|00001440| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001450| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001460| 20 20 20 20 20 20 20 20 | 20 6f 20 21 20 20 11 31 |        | o !  .1|
|00001470| 34 2e 35 20 20 11 34 21 | 0d 0b 00 11 31 57 72 6f |4.5  .4!|....1Wro|
|00001480| 6e 67 2e 20 20 28 62 29 | 20 69 73 20 6e 6f 74 20 |ng.  (b)| is not |
|00001490| 63 6f 72 72 65 63 74 20 | 73 69 6e 63 65 20 11 33 |correct |since .3|
|000014a0| 63 20 11 31 3d 20 73 69 | 6e 20 31 31 30 20 20 11 |c .1= si|n 110  .|
|000014b0| 34 21 32 32 32 32 32 32 | 32 21 20 7e 20 11 31 32 |4!222222|2! ~ .12|
|000014c0| 34 2e 34 2e 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |4.4.... |        |
|000014d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000014e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000014f0| 20 20 20 20 20 11 34 21 | 20 20 20 20 20 20 6f 21 |     .4!|      o!|
|00001500| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|00001510| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001520| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001530| 20 21 11 31 73 69 6e 20 | 31 30 20 11 34 21 0d 0b | !.1sin |10 .4!..|
|00001540| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00001550| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001560| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 39 |        |       9|
|00001570| 20 20 20 20 20 20 20 30 | 0d 0a 00 00 17 4f 03 20 |       0|.....O. |
|00001580| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001590| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000015a0| 20 20 20 11 34 6f 20 20 | 20 20 20 20 20 6f 20 20 |   .4o  |     o  |
|000015b0| 20 20 20 6f 20 20 20 20 | 20 20 6f 0d 0b 00 11 31 |   o    |  o....1|
|000015c0| 53 6f 72 72 79 2c 20 74 | 68 69 73 20 6f 6e 65 20 |Sorry, t|his one |
|000015d0| 69 73 20 63 6f 72 72 65 | 63 74 2e 20 20 11 33 42 |is corre|ct.  .3B|
|000015e0| 20 11 31 3d 20 31 38 30 | 20 20 2d 20 28 31 33 30 | .1= 180|  - (130|
|000015f0| 20 20 2b 20 33 35 20 29 | 20 3d 20 31 35 20 2e 0d |  + 35 )| = 15 ..|
|00001600| 0a 00 00 17 4f 06 0d 0b | 00 53 6f 72 72 79 2c 20 |....O...|.Sorry, |
|00001610| 74 68 69 73 20 6f 6e 65 | 20 69 73 20 63 6f 72 72 |this one| is corr|
|00001620| 65 63 74 2e 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |ect.... |        |
|00001630| 20 20 20 11 34 28 20 20 | 20 20 20 20 20 20 29 0d |   .4(  |      ).|
|00001640| 0b 00 20 20 20 20 20 20 | 20 20 20 20 6f 20 21 20 |..      |    o ! |
|00001650| 20 11 31 32 30 30 20 20 | 20 11 34 21 0d 0b 00 11 | .1200  | .4!....|
|00001660| 33 62 20 11 31 3d 20 73 | 69 6e 20 31 35 20 20 11 |3b .1= s|in 15  .|
|00001670| 34 21 32 32 32 32 32 32 | 32 32 21 20 7e 20 11 31 |4!222222|22! ~ .1|
|00001680| 36 37 2e 36 2e 0d 0b 00 | 20 20 20 20 20 20 20 20 |67.6....|        |
|00001690| 20 20 20 20 11 34 21 20 | 20 20 20 20 20 20 6f 21 |    .4! |      o!|
|000016a0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 21 |...     |       !|
|000016b0| 11 31 73 69 6e 20 31 33 | 30 20 11 34 21 0d 0b 00 |.1sin 13|0 .4!...|
|000016c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 39 20 20 20 |        |    9   |
|000016d0| 20 20 20 20 20 30 0d 0a | 00 00 17 4f 06 0d 0b 00 |     0..|...O....|
|000016e0| 53 6f 72 72 79 2c 20 74 | 68 69 73 20 6f 6e 65 20 |Sorry, t|his one |
|000016f0| 69 73 20 63 6f 72 72 65 | 63 74 2e 0d 0a 00 20 20 |is corre|ct....  |
|00001700| 20 20 20 20 20 20 20 20 | 20 20 11 34 28 20 20 20 |        |  .4(   |
|00001710| 20 20 20 20 20 29 0d 0b | 00 20 20 20 20 20 20 20 |     )..|.       |
|00001720| 20 20 20 6f 20 21 20 20 | 11 31 32 30 30 20 20 20 |   o !  |.1200   |
|00001730| 11 34 21 0d 0b 00 11 33 | 63 20 11 31 3d 20 73 69 |.4!....3|c .1= si|
|00001740| 6e 20 33 35 20 20 11 34 | 21 32 32 32 32 32 32 32 |n 35  .4|!2222222|
|00001750| 32 21 20 7e 20 11 31 31 | 34 39 2e 38 2e 0d 0b 00 |2! ~ .11|49.8....|
|00001760| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 34 21 20 |        |    .4! |
|00001770| 20 20 20 20 20 20 6f 21 | 0d 0b 00 20 20 20 20 20 |      o!|...     |
|00001780| 20 20 20 20 20 20 20 21 | 11 31 73 69 6e 20 31 33 |       !|.1sin 13|
|00001790| 30 20 11 34 21 0d 0b 00 | 20 20 20 20 20 20 20 20 |0 .4!...|        |
|000017a0| 20 20 20 20 39 20 20 20 | 20 20 20 20 20 30 0d 0a |    9   |     0..|
|000017b0| 00 00 17 4f 03 0d 0b 00 | 56 65 72 79 20 67 6f 6f |...O....|Very goo|
|000017c0| 64 2e 0d 0a 00 53 65 63 | 74 69 6f 6e 20 38 2e 31 |d....Sec|tion 8.1|
|000017d0| 20 20 4c 61 77 20 6f 66 | 20 53 69 6e 65 73 0d 0a |  Law of| Sines..|
|000017e0| 00 0d 0a 00 0d 0b 00 20 | 20 20 20 0e 78 38 2d 31 |....... |   .x8-1|
|000017f0| 2d 31 0e 54 75 74 6f 72 | 69 61 6c 20 45 78 65 72 |-1.Tutor|ial Exer|
|00001800| 63 69 73 65 20 20 31 0f | 20 20 20 20 0e 78 38 2d |cise  1.|    .x8-|
|00001810| 31 2d 32 0e 54 75 74 6f | 72 69 61 6c 20 45 78 65 |1-2.Tuto|rial Exe|
|00001820| 72 63 69 73 65 20 20 32 | 0f 0d 0a 00 0d 0b 00 20 |rcise  2|....... |
|00001830| 20 20 20 0e 78 38 2d 31 | 2d 33 0e 54 75 74 6f 72 |   .x8-1|-3.Tutor|
|00001840| 69 61 6c 20 45 78 65 72 | 63 69 73 65 20 20 33 0f |ial Exer|cise  3.|
|00001850| 20 20 20 20 0e 78 38 2d | 31 2d 34 0e 54 75 74 6f |    .x8-|1-4.Tuto|
|00001860| 72 69 61 6c 20 45 78 65 | 72 63 69 73 65 20 20 34 |rial Exe|rcise  4|
|00001870| 0f 0d 0a 00 0d 0b 00 20 | 20 20 20 0e 78 38 2d 31 |....... |   .x8-1|
|00001880| 2d 35 0e 54 75 74 6f 72 | 69 61 6c 20 45 78 65 72 |-5.Tutor|ial Exer|
|00001890| 63 69 73 65 20 20 35 0f | 0d 0a 00 0d 0b 00 20 20 |cise  5.|......  |
|000018a0| 20 20 0e 78 38 2d 31 2d | 36 0e 54 75 74 6f 72 69 |  .x8-1-|6.Tutori|
|000018b0| 61 6c 20 45 78 65 72 63 | 69 73 65 20 20 36 0f 0d |al Exerc|ise  6..|
|000018c0| 0a 00 0d 0b 00 20 20 20 | 20 0e 78 38 2d 31 2d 37 |.....   | .x8-1-7|
|000018d0| 0e 54 75 74 6f 72 69 61 | 6c 20 45 78 65 72 63 69 |.Tutoria|l Exerci|
|000018e0| 73 65 20 20 37 0f 0d 0a | 00 0d 0b 00 20 20 20 20 |se  7...|....    |
|000018f0| 0e 78 38 2d 31 2d 38 0e | 54 75 74 6f 72 69 61 6c |.x8-1-8.|Tutorial|
|00001900| 20 45 78 65 72 63 69 73 | 65 20 20 38 0f 0d 0a 00 | Exercis|e  8....|
|00001910| 53 65 63 74 69 6f 6e 20 | 38 2e 31 20 20 4c 61 77 |Section |8.1  Law|
|00001920| 20 6f 66 20 53 69 6e 65 | 73 20 20 20 20 20 20 20 | of Sine|s       |
|00001930| 20 20 20 20 20 20 20 20 | 20 20 11 34 6f 20 20 20 |        |  .4o   |
|00001940| 20 20 20 20 20 6f 0d 0b | 00 20 11 31 31 2e 20 20 |     o..|. .11.  |
|00001950| 47 69 76 65 6e 20 11 33 | 41 20 11 31 3d 20 31 30 |Given .3|A .1= 10|
|00001960| 20 2c 20 11 33 42 20 11 | 31 3d 20 36 30 20 2c 20 | , .3B .|1= 60 , |
|00001970| 61 6e 64 20 11 33 61 20 | 11 31 3d 20 34 2e 35 2c |and .3a |.1= 4.5,|
|00001980| 20 20 20 20 20 20 14 39 | 2d 31 2d 31 2e 61 74 14 |      .9|-1-1.at.|
|00001990| 35 30 14 30 14 32 35 14 | 38 14 0d 0a 00 20 20 20 |50.0.25.|8....   |
|000019a0| 20 20 77 68 69 63 68 20 | 6f 6e 65 20 28 69 66 20 |  which |one (if |
|000019b0| 61 6e 79 29 20 69 73 20 | 69 6e 63 6f 72 72 65 63 |any) is |incorrec|
|000019c0| 74 3f 0d 0a 00 0d 0a 00 | 20 20 20 20 20 0e 61 39 |t?......|     .a9|
|000019d0| 2d 31 2d 33 61 0e 28 61 | 29 0f 20 11 33 62 20 11 |-1-3a.(a|). .3b .|
|000019e0| 34 7e 20 11 31 32 32 2e | 34 0d 0a 00 0d 0a 00 20 |4~ .122.|4...... |
|000019f0| 20 20 20 20 0e 61 39 2d | 31 2d 33 62 0e 28 62 29 |    .a9-|1-3b.(b)|
|00001a00| 0f 20 11 33 63 20 11 34 | 7e 20 11 31 32 31 2e 39 |. .3c .4|~ .121.9|
|00001a10| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 20 20 20 20 20 |......  |        |
|00001a20| 20 20 20 20 20 20 11 34 | 6f 0d 0b 00 20 20 20 20 |      .4|o...    |
|00001a30| 20 11 31 0e 61 39 2d 31 | 2d 33 63 0e 28 63 29 0f | .1.a9-1|-3c.(c).|
|00001a40| 20 11 33 43 20 11 31 3d | 20 31 31 30 20 20 20 20 | .3C .1=| 110    |
|00001a50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 0d 0a 00 |        |     ...|
|00001a60| 0d 0a 00 20 20 20 20 20 | 0e 61 39 2d 31 2d 33 64 |...     |.a9-1-3d|
|00001a70| 0e 28 64 29 0f 20 41 6c | 6c 20 6f 66 20 74 68 65 |.(d). Al|l of the|
|00001a80| 73 65 20 61 72 65 20 63 | 6f 72 72 65 63 74 0d 0a |se are c|orrect..|
|00001a90| 00 0d 0a 00 59 6f 75 20 | 6d 61 79 20 77 61 6e 74 |....You |may want|
|00001aa0| 20 74 6f 20 72 65 76 69 | 65 77 20 10 61 38 2d 31 | to revi|ew .a8-1|
|00001ab0| 2d 32 0e 65 38 2d 31 2d | 31 0e 47 75 69 64 65 64 |-2.e8-1-|1.Guided|
|00001ac0| 20 45 78 61 6d 70 6c 65 | 20 31 2e 0f 0d 0a 00 53 | Example| 1.....S|
|00001ad0| 65 63 74 69 6f 6e 20 38 | 2e 31 20 20 4c 61 77 20 |ection 8|.1  Law |
|00001ae0| 6f 66 20 53 69 6e 65 73 | 20 20 20 20 20 20 20 20 |of Sines|        |
|00001af0| 20 20 20 20 20 20 20 20 | 20 20 11 34 6f 20 20 20 |        |  .4o   |
|00001b00| 20 20 20 20 20 6f 0d 0b | 00 20 11 31 32 2e 20 20 |     o..|. .12.  |
|00001b10| 47 69 76 65 6e 20 11 33 | 41 20 11 31 3d 20 31 33 |Given .3|A .1= 13|
|00001b20| 30 20 2c 20 11 33 43 20 | 11 31 3d 20 33 35 20 2c |0 , .3C |.1= 35 ,|
|00001b30| 20 11 33 61 20 11 31 3d | 20 32 30 30 2c 20 77 68 | .3a .1=| 200, wh|
|00001b40| 69 63 68 20 6f 6e 65 20 | 28 69 66 20 61 6e 79 29 |ich one |(if any)|
|00001b50| 20 69 73 20 69 6e 63 6f | 72 72 65 63 74 3f 0d 0a | is inco|rrect?..|
|00001b60| 00 0d 0a 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |....    |        |
|00001b70| 20 20 20 11 34 6f 0d 0b | 00 20 20 20 20 20 11 31 |   .4o..|.     .1|
|00001b80| 0e 61 39 2d 31 2d 37 61 | 0e 28 61 29 0f 20 11 33 |.a9-1-7a|.(a). .3|
|00001b90| 42 20 11 31 3d 20 31 35 | 20 20 20 20 20 20 20 20 |B .1= 15|        |
|00001ba0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 0e |        |       .|
|00001bb0| 61 39 2d 31 2d 37 62 0e | 28 62 29 0f 20 11 33 62 |a9-1-7b.|(b). .3b|
|00001bc0| 20 11 34 7e 20 11 31 36 | 37 2e 36 0d 0a 00 0d 0b | .4~ .16|7.6.....|
|00001bd0| 00 20 20 20 20 20 0e 61 | 39 2d 31 2d 37 63 0e 28 |.     .a|9-1-7c.(|
|00001be0| 63 29 0f 20 11 33 63 20 | 11 34 7e 20 11 31 31 34 |c). .3c |.4~ .114|
|00001bf0| 39 2e 38 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |9.8     |        |
|00001c00| 20 20 20 20 20 20 20 0e | 61 39 2d 31 2d 37 64 0e |       .|a9-1-7d.|
|00001c10| 28 64 29 0f 20 41 6c 6c | 20 6f 66 20 74 68 65 73 |(d). All| of thes|
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|00001c30| 0d 0a 00 59 6f 75 20 6d | 61 79 20 77 61 6e 74 20 |...You m|ay want |
|00001c40| 74 6f 20 72 65 76 69 65 | 77 20 10 61 38 2d 31 2d |to revie|w .a8-1-|
|00001c50| 32 0e 65 38 2d 31 2d 31 | 0e 47 75 69 64 65 64 20 |2.e8-1-1|.Guided |
|00001c60| 45 78 61 6d 70 6c 65 20 | 31 2e 0f 0d 0a 00 53 65 |Example |1.....Se|
|00001c70| 63 74 69 6f 6e 20 38 2e | 31 20 20 4c 61 77 20 6f |ction 8.|1  Law o|
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|00001c90| 20 20 20 20 20 20 20 20 | 11 34 6f 0d 0b 00 20 11 |        |.4o... .|
|00001ca0| 31 33 2e 20 20 47 69 76 | 65 6e 20 11 33 42 20 11 |13.  Giv|en .3B .|
|00001cb0| 31 3d 20 34 35 20 33 30 | 27 2c 20 11 33 61 20 11 |1= 45 30|', .3a .|
|00001cc0| 31 3d 20 32 2e 35 2c 20 | 61 6e 64 20 11 33 62 20 |1= 2.5, |and .3b |
|00001cd0| 11 31 3d 20 31 30 2e 36 | 2c 20 77 68 69 63 68 20 |.1= 10.6|, which |
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|00001cf0| 69 6e 63 6f 72 72 65 63 | 74 3f 0d 0a 00 0d 0a 00 |incorrec|t?......|
|00001d00| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 34 |        |      .4|
|00001d10| 6f 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |o       |        |
|00001d20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001d30| 20 20 20 6f 0d 0b 00 20 | 20 20 20 20 11 31 0e 61 |   o... |    .1.a|
|00001d40| 39 2d 31 2d 31 31 61 0e | 28 61 29 0f 20 11 33 41 |9-1-11a.|(a). .3A|
|00001d50| 20 11 34 7e 20 11 31 39 | 20 34 31 27 20 20 20 20 | .4~ .19| 41'    |
|00001d60| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001d70| 0e 61 39 2d 31 2d 31 31 | 62 0e 28 62 29 0f 20 11 |.a9-1-11|b.(b). .|
|00001d80| 33 43 20 11 34 7e 20 11 | 31 31 32 34 20 34 39 27 |3C .4~ .|1124 49'|
|00001d90| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 0e 61 39 2d 31 |......  |   .a9-1|
|00001da0| 2d 31 31 63 0e 28 63 29 | 0f 20 11 33 63 20 11 34 |-11c.(c)|. .3c .4|
|00001db0| 7e 20 11 31 31 31 2e 34 | 20 20 20 20 20 20 20 20 |~ .111.4|        |
|00001dc0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 0e 61 39 |        |     .a9|
|00001dd0| 2d 31 2d 31 31 64 0e 28 | 64 29 0f 20 41 6c 6c 20 |-1-11d.(|d). All |
|00001de0| 6f 66 20 74 68 65 73 65 | 20 61 72 65 20 63 6f 72 |of these| are cor|
|00001df0| 72 65 63 74 0d 0a 00 0d | 0a 00 59 6f 75 20 6d 61 |rect....|..You ma|
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|00001e10| 20 10 61 38 2d 31 2d 32 | 0e 65 38 2d 31 2d 32 0e | .a8-1-2|.e8-1-2.|
|00001e20| 47 75 69 64 65 64 20 45 | 78 61 6d 70 6c 65 20 32 |Guided E|xample 2|
|00001e30| 2e 0f 0d 0a 00 53 65 63 | 74 69 6f 6e 20 38 2e 31 |.....Sec|tion 8.1|
|00001e40| 20 20 4c 61 77 20 6f 66 | 20 53 69 6e 65 73 20 20 |  Law of| Sines  |
|00001e50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001e60| 11 34 6f 0d 0b 00 20 11 | 31 34 2e 20 20 47 69 76 |.4o... .|14.  Giv|
|00001e70| 65 6e 20 11 33 41 20 11 | 31 3d 20 31 30 30 20 31 |en .3A .|1= 100 1|
|00001e80| 35 27 2c 20 11 33 61 20 | 11 31 3d 20 33 35 2c 20 |5', .3a |.1= 35, |
|00001e90| 61 6e 64 20 11 33 62 20 | 11 31 3d 20 32 33 2c 20 |and .3b |.1= 23, |
|00001ea0| 77 68 69 63 68 20 6f 6e | 65 20 28 69 66 20 61 6e |which on|e (if an|
|00001eb0| 79 29 20 69 73 20 69 6e | 63 6f 72 72 65 63 74 3f |y) is in|correct?|
|00001ec0| 0d 0a 00 0d 0a 00 20 20 | 20 20 20 20 20 20 20 20 |......  |        |
|00001ed0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001ee0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001ef0| 20 20 20 20 20 20 11 34 | 6f 0d 0b 00 20 20 20 20 |      .4|o...    |
|00001f00| 20 11 31 0e 61 39 2d 31 | 2d 31 35 61 0e 28 61 29 | .1.a9-1|-15a.(a)|
|00001f10| 0f 20 11 33 63 20 11 34 | 7e 20 11 31 30 2e 36 20 |. .3c .4|~ .10.6 |
|00001f20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001f30| 20 20 20 20 20 0e 61 39 | 2d 31 2d 31 35 62 0e 28 |     .a9|-1-15b.(|
|00001f40| 62 29 0f 20 11 33 42 20 | 11 34 7e 20 11 31 34 30 |b). .3B |.4~ .140|
|00001f50| 20 31 37 27 0d 0a 00 0d | 0b 00 20 20 20 20 20 20 | 17'....|..      |
|00001f60| 20 20 20 20 20 20 20 20 | 20 11 34 6f 0d 0b 00 20 |        | .4o... |
|00001f70| 20 20 20 20 11 31 0e 61 | 39 2d 31 2d 31 35 63 0e |    .1.a|9-1-15c.|
|00001f80| 28 63 29 0f 20 11 33 43 | 20 11 34 7e 20 11 31 33 |(c). .3C| .4~ .13|
|00001f90| 39 20 32 38 27 20 20 20 | 20 20 20 20 20 20 20 20 |9 28'   |        |
|00001fa0| 20 20 20 20 20 20 20 20 | 0e 61 39 2d 31 2d 31 35 |        |.a9-1-15|
|00001fb0| 64 0e 28 64 29 0f 20 41 | 6c 6c 20 6f 66 20 74 68 |d.(d). A|ll of th|
|00001fc0| 65 73 65 20 61 72 65 20 | 63 6f 72 72 65 63 74 0d |ese are |correct.|
|00001fd0| 0a 00 0d 0a 00 59 6f 75 | 20 6d 61 79 20 77 61 6e |.....You| may wan|
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|00001ff0| 31 2d 32 0e 65 38 2d 31 | 2d 32 0e 47 75 69 64 65 |1-2.e8-1|-2.Guide|
|00002000| 64 20 45 78 61 6d 70 6c | 65 20 32 2e 0f 0d 0a 00 |d Exampl|e 2.....|
|00002010| 53 65 63 74 69 6f 6e 20 | 38 2e 31 20 20 4c 61 77 |Section |8.1  Law|
|00002020| 20 6f 66 20 53 69 6e 65 | 73 20 20 20 20 20 20 20 | of Sine|s       |
|00002030| 20 20 20 20 20 20 20 20 | 20 20 11 34 6f 0d 0b 00 |        |  .4o...|
|00002040| 20 11 31 35 2e 20 20 47 | 69 76 65 6e 20 11 33 41 | .15.  G|iven .3A|
|00002050| 20 11 31 3d 20 32 38 20 | 2c 20 11 33 61 20 11 31 | .1= 28 |, .3a .1|
|00002060| 3d 20 34 2e 33 20 61 6e | 64 20 11 33 62 20 11 31 |= 4.3 an|d .3b .1|
|00002070| 3d 20 37 2c 20 66 69 6e | 64 20 74 68 65 20 72 65 |= 7, fin|d the re|
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|000020e0| 61 0e 28 61 29 0f 20 38 | 2e 39 35 20 20 20 20 20 |a.(a). 8|.95     |
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|00002100| 20 20 20 20 0e 61 39 2d | 31 2d 31 39 62 0e 28 62 |    .a9-|1-19b.(b|
|00002110| 29 0f 20 38 2e 39 35 2c | 20 33 2e 34 31 0d 0a 00 |). 8.95,| 3.41...|
|00002120| 0d 0b 00 20 20 20 20 20 | 0e 61 39 2d 31 2d 31 39 |...     |.a9-1-19|
|00002130| 61 0e 28 63 29 0f 20 38 | 2e 39 35 2c 20 37 2e 30 |a.(c). 8|.95, 7.0|
|00002140| 30 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |0       |        |
|00002150| 20 20 20 20 0e 61 39 2d | 31 2d 31 39 64 0e 28 64 |    .a9-|1-19d.(d|
|00002160| 29 0f 20 4e 6f 74 20 70 | 6f 73 73 69 62 6c 65 2e |). Not p|ossible.|
|00002170| 0d 0a 00 0d 0a 00 59 6f | 75 20 6d 61 79 20 77 61 |......Yo|u may wa|
|00002180| 6e 74 20 74 6f 20 72 65 | 76 69 65 77 20 10 61 38 |nt to re|view .a8|
|00002190| 2d 31 2d 32 0e 65 38 2d | 31 2d 33 0e 47 75 69 64 |-1-2.e8-|1-3.Guid|
|000021a0| 65 64 20 45 78 61 6d 70 | 6c 65 20 33 2e 0f 0d 0a |ed Examp|le 3....|
|000021b0| 00 53 65 63 74 69 6f 6e | 20 38 2e 31 20 20 4c 61 |.Section| 8.1  La|
|000021c0| 77 20 6f 66 20 53 69 6e | 65 73 20 20 20 20 20 20 |w of Sin|es      |
|000021d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000021e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000021f0| 20 20 20 20 20 20 20 20 | 20 11 34 6f 0d 0b 00 20 |        | .4o... |
|00002200| 11 31 36 2e 20 20 46 69 | 6e 64 20 74 68 65 20 61 |.16.  Fi|nd the a|
|00002210| 72 65 61 20 6f 66 20 74 | 68 65 20 74 72 69 61 6e |rea of t|he trian|
|00002220| 67 6c 65 20 77 69 74 68 | 20 11 33 43 20 11 31 3d |gle with| .3C .1=|
|00002230| 20 31 34 30 20 2c 20 11 | 33 61 20 11 31 3d 20 36 | 140 , .|3a .1= 6|
|00002240| 2c 20 61 6e 64 20 11 33 | 62 20 11 31 3d 20 31 30 |, and .3|b .1= 10|
|00002250| 2e 0d 0a 00 0d 0a 00 20 | 20 20 20 20 0e 61 39 2d |....... |    .a9-|
|00002260| 31 2d 32 35 61 0e 28 61 | 29 0f 20 33 38 2e 36 20 |1-25a.(a|). 38.6 |
|00002270| 73 71 2e 20 75 6e 69 74 | 73 20 20 20 20 20 20 20 |sq. unit|s       |
|00002280| 20 20 20 20 20 20 20 20 | 0e 61 39 2d 31 2d 32 35 |        |.a9-1-25|
|00002290| 62 0e 28 62 29 0f 20 32 | 39 2e 34 20 73 71 2e 20 |b.(b). 2|9.4 sq. |
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|000022b0| 0e 61 39 2d 31 2d 32 35 | 63 0e 28 63 29 0f 20 31 |.a9-1-25|c.(c). 1|
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|000022e0| 31 2d 32 35 64 0e 28 64 | 29 0f 20 33 30 2e 30 20 |1-25d.(d|). 30.0 |
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|00002300| 6f 75 20 6d 61 79 20 77 | 61 6e 74 20 74 6f 20 72 |ou may w|ant to r|
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|00002320| 2d 31 2d 34 0e 47 75 69 | 64 65 64 20 45 78 61 6d |-1-4.Gui|ded Exam|
|00002330| 70 6c 65 20 34 2e 0f 0d | 0a 00 53 65 63 74 69 6f |ple 4...|..Sectio|
|00002340| 6e 20 38 2e 31 20 20 4c | 61 77 20 6f 66 20 53 69 |n 8.1  L|aw of Si|
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|00002360| 74 68 65 20 6c 65 6e 67 | 74 68 20 11 33 64 20 11 |the leng|th .3d .|
|00002370| 31 6f 66 20 74 68 65 20 | 62 72 61 63 65 20 20 20 |1of the |brace   |
|00002380| 20 20 20 20 20 20 14 39 | 2d 31 2d 32 2e 61 74 14 |      .9|-1-2.at.|
|00002390| 34 35 14 30 14 33 32 14 | 31 30 14 0d 0a 00 20 20 |45.0.32.|10....  |
|000023a0| 20 20 20 72 65 71 75 69 | 72 65 64 20 74 6f 20 73 |   requi|red to s|
|000023b0| 75 70 70 6f 72 74 20 74 | 68 65 20 0d 0a 00 20 20 |upport t|he ...  |
|000023c0| 20 20 20 73 74 72 65 65 | 74 6c 69 67 68 74 20 73 |   stree|tlight s|
|000023d0| 68 6f 77 6e 20 69 6e 20 | 74 68 65 20 66 69 67 75 |hown in |the figu|
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|000023f0| 39 2d 31 2d 33 31 61 0e | 28 61 29 0f 20 31 30 20 |9-1-31a.|(a). 10 |
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|00002410| 20 20 20 20 20 0d 0a 00 | 0d 0b 00 20 20 20 20 20 |     ...|...     |
|00002420| 0e 61 39 2d 31 2d 33 31 | 61 0e 28 62 29 0f 20 33 |.a9-1-31|a.(b). 3|
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|00002440| 0e 61 39 2d 31 2d 33 31 | 63 0e 28 63 29 0f 20 36 |.a9-1-31|c.(c). 6|
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|00002460| 20 20 20 20 20 20 20 0d | 0a 00 0d 0b 00 20 20 20 |       .|.....   |
|00002470| 20 20 0e 61 39 2d 31 2d | 33 31 64 0e 28 64 29 0f |  .a9-1-|31d.(d).|
|00002480| 20 4e 6f 74 20 70 6f 73 | 73 69 62 6c 65 0d 0a 00 | Not pos|sible...|
|00002490| 0d 0a 00 59 6f 75 20 6d | 61 79 20 77 61 6e 74 20 |...You m|ay want |
|000024a0| 74 6f 20 72 65 76 69 65 | 77 20 10 61 38 2d 31 2d |to revie|w .a8-1-|
|000024b0| 32 0e 65 38 2d 31 2d 35 | 0e 47 75 69 64 65 64 20 |2.e8-1-5|.Guided |
|000024c0| 45 78 61 6d 70 6c 65 20 | 35 2e 0f 0d 0a 00 53 65 |Example |5.....Se|
|000024d0| 63 74 69 6f 6e 20 38 2e | 31 20 20 4c 61 77 20 6f |ction 8.|1  Law o|
|000024e0| 66 20 53 69 6e 65 73 0d | 0b 00 20 38 2e 20 20 54 |f Sines.|.. 8.  T|
|000024f0| 77 6f 20 66 69 72 65 20 | 74 6f 77 65 72 73 20 11 |wo fire |towers .|
|00002500| 33 41 20 11 31 61 6e 64 | 20 11 33 42 20 11 31 61 |3A .1and| .3B .1a|
|00002510| 72 65 20 31 38 2e 35 20 | 6d 69 6c 65 73 20 20 20 |re 18.5 |miles   |
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|00002530| 12 30 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 20 |.0...   |        |
|00002540| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002550| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002560| 20 11 34 6f 20 20 20 20 | 20 20 20 20 11 31 5f 5f | .4o    |    .1__|
|00002570| 11 34 21 11 31 5f 5f 0d | 0b 00 20 20 20 20 20 61 |.4!.1__.|..     a|
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|000025a0| 20 11 33 42 20 11 31 69 | 73 20 4e 20 36 35 20 20 | .3B .1i|s N 65  |
|000025b0| 45 2e 20 20 20 12 33 11 | 32 57 11 31 12 30 20 20 |E.   .3.|2W.1.0  |
|000025c0| 20 20 20 20 20 12 33 11 | 32 45 11 31 12 30 0d 0b |     .3.|2E.1.0..|
|000025d0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
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|00002600| 20 20 20 20 20 20 20 20 | 11 34 21 0d 0a 00 20 20 |        |.4!...  |
|00002610| 20 20 20 11 31 41 20 66 | 69 72 65 20 69 73 20 73 |   .1A f|ire is s|
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|00002640| 20 20 20 20 20 20 20 12 | 33 11 32 53 11 31 12 30 |       .|3.2S.1.0|
|00002650| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 74 6f 77 65 72 |......  |   tower|
|00002660| 2c 20 61 6e 64 20 69 74 | 73 20 62 65 61 72 69 6e |, and it|s bearin|
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|00002680| 64 20 11 33 42 20 11 31 | 61 72 65 20 0d 0a 00 20 |d .3B .1|are ... |
|00002690| 20 20 20 20 20 20 20 20 | 11 34 6f 20 20 20 20 20 |        |.4o     |
|000026a0| 20 20 20 20 20 20 20 20 | 6f 0d 0b 00 20 20 20 20 |        |o...    |
|000026b0| 20 11 31 4e 20 32 38 20 | 20 45 20 61 6e 64 20 4e | .1N 28 | E and N|
|000026c0| 20 31 36 2e 35 20 20 57 | 2c 20 72 65 73 70 65 63 | 16.5  W|, respec|
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|00002810| 64 65 64 20 45 78 61 6d | 70 6c 65 20 36 2e 0f 0d |ded Exam|ple 6...|
|00002820| 0a 00 14 00 00 00 04 01 | 00 00 50 00 04 00 14 00 |........|..P.....|
|00002830| 00 00 10 00 00 00 61 39 | 2d 31 2d 31 31 61 00 1c |......a9|-1-11a..|
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|00002970| 00 46 09 00 00 61 39 2d | 31 2d 32 35 61 00 04 0a |.F...a9-|1-25a...|
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|00002c30| 78 38 2d 31 2d 38 00    |                         |x8-1-8. |        |
+--------+-------------------------+-------------------------+--------+--------+