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 ${30}^{\circ }$.

Answer 1

Here AC is the rope and is 20m long.

The angle it makes with the ground is ${30}^{\circ }$

Hence the pole height AB = $\frac{20}{2}$ (using sin ${30}^{\circ }$)

$\to$ AB = 10m.