A Ferris wheel is 30 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=

Midline: h=

Period: P=

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).

c. If the Ferris wheel continues to turn, how high off the ground is a person after 27 minutes?

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