#### Question

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30 °

#### Solution

It can be observed from the figure that AB is the pole.

In ΔABC,

AB/AC = sin 30º

AB/20 =1/2

AB = 20/2 = 10

Therefore, the height of the pole is 10 m

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Solution A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30 ° Concept: Heights and Distances.