A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the distance of the pole to the peg in the ground, if the angle made by the rope with the ground level is 30∘.
15√3 m
The figure above represents the given situation.
From the given firgure,
cos30∘=BCAC⇒BC=cos30∘×AC=√3AC2=30√32=15√3m