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°
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Answer 1

Answer:

10 m

Step-by-step explanation:

Given that 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. And the angle made by the rope with the ground level is 30°.

We need to find out the height of the pole.

Assumption: Let's say that the height of the pole is x. Also assume a traingle ABC right angled at B.

In ∆ABC; AB is the height of the pole and AC is the 20 m long and the angle made by the rope with the ground level is 30° (∠C = 30°).

In ∆ABC

AB/AC = sin 30°

x/20 = 1/2

x = 20/2

x = 10

Therefore, the height of the pole is 10 m.

Answer 2

Answer:

answer is 10 meter long rope