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°.

Answer 1

Let AB = h metres be the height of the pole. Given,

AC = 20 m be the rope which the circus artist is climbing,

∠ACB = 30°

In ΔABC, sin 30° = \(\frac{AB}{AC}= \frac{h}{20}\)

⇒ \(\frac{h}{20}=\frac12\) ⇒ h = \(\frac12\) x 20m = 10m.