Question

You want to find the height of a tower used to transmit cellular phone calls. You stand 100 feet away from the tower and mesure the angle of elevation to be 40° . How high is the tower to the nearest foot

Answer 1

84 feet to the nearest foot.

Explanation:

We have a right angled triangle with adjacent side (A) = 100 and you want to find the height of the tower, the opposite side (O).

A = 100 , O = ? so we need the tangent , (from SOH-CAH-TOA).

tan 40 = O/ 100

O = 100 tan 40

= 83.9 feet.