Question

A 500-foot wear tower used to measure wind speed has a guy wire attached to it 200 feet above the ground. The angle between the wire and the vertical tower is 47 degrees. Approximate the length of the guy wire to the nearest foot.

Answer 1

293 feet

Explanation:

The distance the wire is attached in the tower is 200 feet

the angle between the wire and the tower is 47 degrees

The length of the wire (x) is the hypotenuse of the triangles formed

The formed triangle is a right angle triangle

For 47 degree angle the adjacent side is 200 feet and hypotenuse is x

`cos(theta)=(adjacent)/(hypotenuse)`

`cos(47)=(200)/(x)`

Cross multiply it

`xcos(47)= 200`

divide by cos on both sides

`x=(200)/(cos(47))`

x=293.25 feet