A Ferris wheel is 27 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 8 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.

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) .

If the Ferris wheel continues to turn, how high off the ground is a person after 26 minutes?