A circus artist is climbing a 28 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 60°.

Question: A circus artist is climbing a 28m 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 60°.

Solution:

By observing the figure, AB is the pole.
In triangle ABC,
⇒ AB/AC = sin60°
⇒ AB/28 = √3/2
⇒ AB = 14√3

Therefore, the height of the pole is 14√3 m