Question

A new cell tower is being constructed and needs a guy-wire connected 180 feet up the tower and it needs to make an angle of 52° with the ground. What length does the wire need to be?

Answer 1

228.42 ft

Explanation:

To solve for this question, we would be applying the Trigonometric function of Sine.

Sin theta = Opposite/Hypotenuse

Theta = 52°

Opposite = 180ft

Hypotenuse = Length of the wire = x

Hence:

sin 52 = 180/x

x = 180/sin 52

x = 228.42327871 ft

Approximately = 228.42 ft