A circus artist is climbing a 20m long rope, which is tightly stretched and tied

Question

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole is

___
m if the angle made by the rope with the ground level is

30^{\circ}

Options:

Answer: Option A
:

Angle of elevation $θ$ = $30^{\circ}$

$\Rightarrow$ Sin $θ$ = $\frac{p e r p e n d i c u l a r}{h y p o t e n u s e}$

$\Rightarrow$ Sin $30^{\circ}$ = $\frac{1}{2}$ = $\frac{h e i g h t o f p o l e}{20}$

Thus, height of pole = 10 m.

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