Question

# A person is climbing a long rope stretched from the top of the pole and fixed at the ground. The height of the pole is $$20$$ m and the angle made by the rope with the ground is $$30^o$$. The length of the rope is

A
30 m
B
10 m
C
40 m
D
403 m

Solution

## The correct option is C $$40$$ mLet the length of the  rope is $$AC$$Then, $$\sin 30^\circ=\dfrac{AB}{AC}$$$$\Rightarrow \dfrac{1}{2}=\dfrac{20}{AC}$$$$\Rightarrow AC=2\times 20$$$$\Rightarrow AC=40 m$$Mathematics

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