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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 $$AB(= a)$$ 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
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