A Ferris wheel is 28 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). Enter the exact answers. Amplitude: A= ________meters Midline: h= __________ meters Period: P= __________minutes b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t=0. Find a formula for the height function h(t). Hints: What is the value of h(0)? Is this the maximum value of h(t), the minimum value of h(t), or a value between the two? The function sin(t) has a value between its maximum and minimum at t=0 , so can h(t) be a straight sine function? The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine function? c. If the Ferris wheel continues to turn, how high off the ground is a person after 39 minutes?

_____________