A tire is 22 inches in diameter and rests on a platform that is 4 inches above the ground. The six o'clock position on the tire is level with the platform. A piece of gum stuck to the three
o'clock position of the tire completes 1 full revolution in 12 seconds. The function h(t) gives
the height of the piece of gum in inches above the ground t seconds after the tire begins to turn. Find a formula for the height function h(t).