# Projectile and Kinetic energy combined

A projectile thrown from horizontal has half the kinetic energy when it is at $h = \dfrac{3H_\text{max}}{4}$ than when it is at $h = \dfrac{H_\text{max}}{4}$.

If the angle of projection can be written as $\theta = \tan^{-1}x$, find the value of $x$.

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