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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. The height of the pole, if the angle made by the rope with the ground level is 30, is _________.


  1. 15 m
  2. 30 m
  3. 152 m
  4. 302 m


Solution

The correct option is A 15 m
The figure above represents the given situation.
In the given figure,
sin30=ABACAB=sin30×AC=AC2=302=15m.

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