# I wish there was no gravity

A valley shots are fired simultaneously from top and bottom of a vertical cliff with the angles of elevation $$30^\circ$$ and $$60^\circ$$, respectively. The shots strike an object simultaneously at the same point on the ground. If the distance of that point from the base of the cliff is $$a$$ meters and the height of the cliff is $$h$$ meters, then find the value of $$\frac{\sqrt{3}h}{a}$$ (in metres).

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