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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 a point on the ground which is at a certain distance from the foot of the pole. If the angle made by the rope with the ground level is 30, the height of the pole is ___ m.
  1. 15
  2. 10
  3. 20
  4. 30


Solution

The correct option is A 15

The figure above represents the given situation.
In the given figure,
sin 30=ABACAB=sin 30×AC=AC2=302=15 m.

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