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

Question

Mathematics

LaLa

9 June, 15:28

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

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Dreamer · Answer 1

84 feet to the nearest foot.

Step-by-step 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.