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JEE Math Practice Question

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

  1. A.$$a/\sqrt 3 $$
  2. B.$$a\sqrt 3 $$
  3. C.$$2a/\sqrt 3 $$
  4. D.$$2a\sqrt 3 $$

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