pre-calculus

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I have absolutely no idea even where to start. Please help!

The carnival has come to town with a ferris wheel that has a radius of 30 feet. People get on when passenger compartments are at the lowest, 2 feet off the ground. The wheel makes a full revolution in 20 seconds.
Using a cosine function, write an equation modelling the height of a passenger from the ground as a function of time.

Thanks so much!

  • pre-calculus -

    the wheel has a radius of 30, so

    y = 30sint or 30cost

    people get on at the bottom, so at t=0 y is at its minimum

    y = -30cost

    the minimum is at y=2, so

    y = 32-30cost

    the period is 20. y=cos(kt) has a period of 2π/k, so 2π/k = 20. k=π/10

    y = 32-30cos(π/10 t)

    see

    http://www.wolframalpha.com/input/?i=32-30cos(%CF%80%2F10+t)

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