Question

A bird ies from the top of a 40-ft. Utility pole on a straight course to the top of a post eight feet above the ground. If the angle of depression is 50 , how far did the bird y to reach the post? Round your answer to the nearest tenth.

Answer 1

41.8 feets

Explanation:

The diagram artic representation of the problem is attached below :

Using trigonometry :

Sin θ = opposite / hypotenus

Sin 50 = 32 / l

0.7660444 * l = 32

l = 32 / 0.7660444

l = 41.77 feets

l = 41.8 feets