A circus artist is climbing a 30 m long rope, which is tightly stretched and tie

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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 $30^{\circ}$ .

Options:

A . 5 m

B . 15

\sqrt{3}

m

C . 18 m

D . 20 m

Answer: Option B
:
B

The figure above represents the given situation.
From the given firgure,
$c o s 30^{\circ} = \frac{B C}{A C} \Rightarrow B C = A C \times c o s 30^{\circ} = \frac{30 \sqrt{3}}{2}$
$= 15 \sqrt{3} m$

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