# precalculus

As you ride a ferris wheel, your distance from the ground varies sinusoidally with time. You enter the ferris wheel from the bottom, which is 8 feet from the ground. The ferris wheel has a diameter of 60 feet and makes a full revolution every minute. What is your height above the ground at t = 20 seconds?

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1. wheel has a diameter of 60 feet

You enter the Ferris wheel from the bottom, which is 8 feet from the ground.
y = 38 - 30cos(t)

a full revolution every minute
so, the period is 1, and you have
y = 38 - 30cos(2πt)

So now plug in t = 1/3

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