A man stands on the roof of a 15.0-m-tall building and throws a rock with a speed of 30.0 m/s at an angle of 33.0 above the horizontal. Ignore air resistance.

Calculate

(a) the maximum height above the roof that the rock reaches;

(b) the speed of the rock just before it strikes the ground; and

(c) the horizontal range from the base of the building to the point where the rock strikes the ground.