# A gun fires two bullets with same velocity at 60Â° and 30Â° with horizontal. The bullets strike at the same horizontal distance. The ratio of maximum height for the two bullets is in the ratio [?] : [?]

The maximum height is given as $H=\frac{u^2sin^\theta }{2g}$

As both have the same range So u is the same for both of them.

So Ration of their height is given as

$\frac{H_1}{H_2}= \frac{sin^2(60^0)}{sin^2(30^0)}=\frac{\frac{\sqrt{3}}{2}*\frac{\sqrt{3}}{2}}{\frac{1}{2}*\frac{1}{2}}=3$

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