For the following exercises, let f(x) = cos x. A Ferris wheel is 25 meters in diameter
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For the following exercises, let f(x) = cos x.
A Ferris wheel is 25 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 10 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).
b. Find a formula for the height function h(t).
c. How high off the ground is a person after 5 minutes?
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