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
    Start with y = 30cos(t)

    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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