Question

A 200 ft supporting cable is tied to the top of a cell phone tower then secured to a point on the ground. if the angle of elevation from the point on the ground to the top of the tower is 38°, find the height of the tower

Answer 1

height of the tower is 123.132 ft

Explanation:

given data

length of cable = 200 ft

angle of cable = 38°

solution

As figure attach

here x is height of height of the tower

we apply here sin(θ) to get the height of tower that is

sinθ =
`(CB)/(AC)` .................1

put here value and we get

sin 38 =
`(x)/(200)`

0.61566 =
`(x)/(200)`

solve it we get

x = 123.132 ft

so height of the tower is 123.132 ft