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A 12 m high pole is tied with a rope to make it vertical to the ground. If the rope makes an angle of 30° with the ground, what is the length of the rope?

A 12 m high pole is tied with a rope to make it vertical to the ground. If the rope makes an angle of 30° with the ground, what is the length of the rope? Correct Answer 24 m

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Given:

Height of the pole = 12 m

Angle of elevation = 30

Formula:

sin θ = Perpendicular/Hypotenuse

Calculation:

Height of the pole AB = 12 m and length of the rope is AC.

sin 30 = AB/AC

⇒ 1/2 = 12/AC

⇒ AC = 12 × 2

⇒ AC = 24 m

∴ Length of the rope is 24 m.

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