# I wish there was no gravity

**Classical Mechanics**Level 3

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).