Question

A 50 ft pole has a support wire that runs from its top to the ground with an angle of depression of 75°. To the nearest tenth of a foot, how much wire is used? Enter a number answer only.

Answer 1

Explanation:

Given:

height of pole = 50 ft

angle of depression = 75°

to find:

how much wire is used

Solution:

Let x be the wire used

sin 75° = 50/x

x = 50/sin 75°

= 50 / 0.9659

= 51.765

x = 51.8 ft