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THEORY.44
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R0/0/639/199
text/1/2
There are many other useful geometric ratios, several of which are
listed below. For complete descriptions and instructions many books
on geometry and surveying are available. These formulas relate to the
figures below: tan A=opposite/adjacent, sin A=opposite/hypotenuse,
cos A=adjacent/hypotenuse. Remember that the angles of a triangle
always equals 180. The angles of a rectangle equal 360 and the
diagonals of a rectangle bisect each other (cross the center point).
~
L35/117/130/77
L130/77/130/120
L130/120/30/120
L49/113/57/114
L57/114/63/117
L63/117/66/120
P34/118/1
P33/118/1
P32/119/1
P31/119/1
P54/114/0
P55/114/0
P54/113/1
P55/113/1
P53/114/0
P52/113/0
P53/112/1
P52/112/1
P51/113/0
P49/113/0
P50/113/0
P51/111/1
P65/112/1
P65/113/1
P65/114/1
P65/115/1
P66/115/1
P66/114/1
P66/113/1
P66/112/1
P65/111/1
P67/111/1
P66/111/1
P69/111/1
P68/111/1
P70/111/1
P71/111/1
P72/111/1
P72/112/1
P72/113/1
P72/114/1
P72/115/1
P74/115/1
P73/115/1
P73/114/1
P73/113/1
P73/112/1
P74/115/0
P73/111/1
P67/113/1
P69/113/1
P70/113/1
P71/113/1
P68/113/1
text/4/77
hypotenuse
~
text/133/92
opposite
leg
~
text/61/126
adjacent
leg
~
text/226/70
For instance if you knew angle A was 37 and
the hypotenuse "leg" was 100 , you could
figure out the other distances by:
sine 37=x/100---.602=x/100--- x=60.2
cos 37=y/100---.799=x/100---y=79.9
Such calculations are very usefull in
finding unkown distances without measuring.
~
C580/69/3
text/149/81
x=
~
text/6/127
y=
~
text/8/88
= 100
~
text/6/149
Of course if you knew the lengths of x and y, or the hypotenuse and
one other side, you could use this information to determine the sine,
cosine, or tangent of angle A. You could then find out the degrees of
angle A and consequently the bearing, if that was what you needed.
~