SOLUTION: Please help me solve this problem. thanks. The angle of depression is measured from the top of a 43 ft. tower to a reference point on the ground. Its value is found to be 63 deg.

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me solve this problem. thanks. The angle of depression is measured from the top of a 43 ft. tower to a reference point on the ground. Its value is found to be 63 deg.       Log On


   

Question 90493: Please help me solve this problem. thanks.
The angle of depression is measured from the top of a 43 ft. tower to a reference point on the ground. Its value is found to be 63 deg. How far is the base of the tower from the point on the ground?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The angle of depression is measured from the top of a 43 ft. tower to a reference point on the ground. Its value is found to be 63 deg. How far is the base of the tower from the point on the ground?
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Note: Angle of depression from the tree top is the same as angle of elevation
from the reference point on the ground.
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Draw the picture: right triangle; side opposite the 63 deg angle is 43 ft.
The base is the adjacent side = x.
EQUATION:
tan(63)=opposite/adjacent = 43/x
x= 43/tan(63)
x= 21.91 ft.
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Cheers,
Stan H.