Question

A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.

Answer 1

659.6 ft

Explanation:

x = 140 / tan 23

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet