# Shooting a deer can be a tough job!

A hunter in a valley is trying to shoot a deer on a hill. The distance of the deer along his line of sight is $$10\sqrt{181} \text{ m}$$ and the height of the hill is $$90\text{ m}$$. His gun has a muzzle velocity of $$100\text{ ms}^{-1}$$. Find maximum how many meters above the deer he should aim his rifle in order to hit it.

Details and Assumptions

Take acceleration due to gravity as $$10\text{ ms}^{-2}$$.

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