SOLUTION: Determine the angle of elevation of the sun when the length of the shadow of a pole is √ 3 times the height of the pole.

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Question 662422: Determine the angle of elevation of the sun when the length of the shadow of a pole is √ 3 times the height of the pole.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Determine the angle of elevation of the sun, when the length of the shadow of a pole is √ 3 times the height of the pole.
:
let h = height of the pole (side opposite the angle(A) of elevation)
then
sqrt%283%29h = the length of the shadow (side adjacent to the angle)
:
tan(A) = h%2F%28sqrt%283%29h%29
cancel h
tan(A) = 1%2F%28sqrt%283%29%29
find the arctan of this
A = 60 degrees is the angle of elevation to the sun