Trigonometry

A Ferris Wheel has a radius of 22 meters and can make a revolution in 82 seconds. Passengers board at the bottom, at a height of 3 m.

Write a sinusoidal equation that models a rider's height as a function of time (Use h(t) and t as your dependent and independent variables, respectively.)

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  1. radius of 22
    h = 22 sin t
    revolution in 82 seconds
    h = 22 sin(2π/82 t)
    board at the bottom: use -cos instead of sine
    board at h=3
    h = 25 - 22 cos(2π/82 t)

  2. During the first two rotations, at what time and height does the instantaneous rate of change does ''h = 25 - 22 cos(2π/82 t)'' have the greatest positive value?

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