The maximum height (H) of a projectile is given by: \(H=\frac{u^2\sin^2\theta}{2g}\) Since (u) (initial velocity) and (g) (acceleration due to gravity) are fixed, the maximum height depends on \(\sin^2\theta\). The largest value of \(\sin\theta\) is 1, which occurs when: \(\theta = 90^\circ\).