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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