Question

A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground. If the cable forms a 60

°

angle with the ground, how high up the pole should the cable be attached?


A.

20

√

3

meters


B.

10 meters


C.

20

√

2

meters


D.

10

√

3

meters

Answer 1

D

Explanation:

Answer 2

Cable attached height (Perpendicular) = 10√3 m

Explanation:

Given:

Length of cable (Hypotenuse) = 20 m

Angle θ = 60°

Find:

Cable attached height (Perpendicular)

Computation:

Perpendicular/Hypotenuse = Sinθ

Perpendicular/20 = Sin 60

Perpendicular/20 = √3 / 2

Perpendicular = 10√3

Cable attached height (Perpendicular) = 10√3 m