To determine the maximum height for the projectile, we can use the timeless kinematics equation

and plug in what we know. For

, we know it is zero because at the highest location of flight, there is no vertical velocity. For

, we know it is

since the vertical component is the sine of the velocity. We need to solve for

, so it is left as-is. Since the only acceleration is

, we can substitute -9.81 into it. Solving for the equation yields a solution of 17.55 m for

.