How does the maximum altitude of the projectile change as the launch angle is increased from 30 to 45 above the horizontal?

As the launch angle of a projectile increases from 30 to 45 degrees, the maximum altitude generally increases. This is because a higher launch angle allows for a greater vertical component of the initial velocity, which contributes to a higher peak in the projectile's trajectory. However, beyond 45 degrees, the altitude will begin to decrease as the horizontal component of the velocity becomes less efficient for achieving height. Thus, the maximum altitude reaches its peak at or around 45 degrees for a given initial velocity.