SOLUTION: When the angle of elevation of the sun is 52 degrees, a telephone pole that is tilted 10 degrees directly away from the sun casts a shadow 32 feet long on level ground. Approximate

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Question 802237: When the angle of elevation of the sun is 52 degrees, a telephone pole that is tilted 10 degrees directly away from the sun casts a shadow 32 feet long on level ground. Approximate the length of the pole.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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When the angle of elevation of the sun is 52 degrees, a telephone pole that is tilted 10 degrees directly away from the sun casts a shadow 32 feet long on level ground. Approximate the length of the pole.
:
That means we do not have right triangle,
the angle at the base of the pole would be 80 degrees not 90 degrees
:
Find the top angle made by the sun and top of the pole
180-52-80 = 48 degrees
:
Let the length of the pole be a, angle A = 52 degrees
Use the law of sines
a%2Fsin%2852%29 = 32%2Fsin%2848%29
a = 32 * sin%2852%29%2Fsin%2848%29
a = 32 * 1.06037
a ~ 34 ft is the length of the pole