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Question

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.


A

5 m

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B

15√3 m

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C

18 m

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D

20 m

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Solution

The correct option is B

15√3 m



The figure above represents the given situation.
From the given firgure,
cos30=BCACBC=cos30×AC=3AC2=3032=153m


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