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  3.    It is unlikely you would make a 60 angle between any 2 bearings by
  4. chance very often. But suppose you wanted to look over an unfamiliar
  5. area. You could then MAKE your bearings and distances form an
  6. equilateral triangle and be mathematically certain of returning to
  7. your starting point. The same type of method can be used for any
  8. triangle or rectangle, although the math becomes more complicated.
  9. ~
  10.  
  11. text/7/57
  12. Therefore the following methods are used more in plotting a specific
  13. area than in cross-country travel.  For instance:
  14. ~
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  16. C343/3/3
  17. L85/89/85/134
  18. L85/134/17/134
  19. text/82/79
  20. 1
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  22.  
  23. text/80/136
  24. 2
  25. ~
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  27. text/12/136
  28. 3
  29. ~
  30.  
  31. text/155/81
  32. You need to know the distance between points 1 and
  33. 3, but there is a small pond between them. To find
  34. the answer you could measure the distance from 1 to
  35. 2 (2 being at a 90 bearing from 3) and then the
  36. distance from 2 to 3. The distance from 3 to 1
  37. would then complete a right triangle. A principle
  38. of right triangles is that a + b = c . Therefore if
  39. 1 to 2 was 780' and 2 to 3 was 540';
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  44. C319/108/3
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  128. text/89/104
  129. a
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  133. b
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  165. 608400' + 291600' = 900000' .  C (3 to 1) is then the square root
  166. of 900000 ----948.68' . *** An interesting use of right triangles
  167. is to find the height of tall objects such as trees. To do this :
  168.  
  169. ~
  170.  
  171.