An object at an angle such that the horizontal range is 4 time of the maximum height. What is the angle of projection of the object?

Explanation

Range = Maximum height
Given , `R = h_("max")`
Angle of projection
`theta = ?`
`(u^(2)sin 2 theta)/(g)= 4 *(u^(2) sin^(2) theta)/(2g)`
`2 sin theta cos theta = 2 * sin theta xx sin theta`
`:. 1 = (sin theta)/(cos theta)`
`1 = tan theta`
`:. theta = 45^(@)`