A tower stands at the center of a circular park. \(A\) and \(B\) are two points on the boundary of the park such that \(AB\) 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 \( 30^\circ.\)

Find the height of the tower.

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