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A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that A B(=a) subtends an angle of 60^ at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30^ . The height of the tower is

Options

  1. A2 a 3
  2. B2 a 3
  3. Ca 3
  4. Da 3

Correct answer

C. a 3

Step-by-step solution

O A B is equilateral OA = OB = AB = a Now 30^ = h a h= a 3 .

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