7. A Ferris wheel is 20 meters in diameter and is attached to a platform that is 2 meters
above the ground. The six o'clock position on the Ferris wheel rests on the platform. The
wheel completes 1 full revolution in 8 minutes. The function h(t) gives your height in meters
above the ground t minutes after the wheel begins to turn.
a. Find the amplitude, average height, and period of h(t).
b. Find a formula for the height function h(t).