Find the angle of projection of a porjectile for which for horizontal range and maximum height are equal.

Explanation

Given, `R = H`
`:. (u^(2) sin 2 theta)/(g) = (u^(2) sin^(2) theta)/(2g)`
or `2 sin theta cos theta = (sin^(2) theta)/(2)`
or `(sin theta)/(cos theta) = 4` or `tan theta =4`
`:. Theta = tan^(-1)(4)`