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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

Sagot :

Answer:

Cable attached height (Perpendicular) = 10√3 m

Step-by-step 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

Answer:

D

Step-by-step explanation:

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