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

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

In ΔABC,

`"AB"/"AC"` = sin 30°

`"AB"/(20) =1/2`

AB = `20/2`

= 10

Therefore, the height of the pole is 10 m.