A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clock position from a platform that is 5 feet above the ground. The wheel completes a counterclockwise revolution every 2 minutes. At t = 0 the person is at the 3 o'clock position. (a) Draw a diagram and impose coordinates. (b) Find a function F(t), using the sine function, for the height of the person above the ground after t minutes. (c) Find two times when a passenger is at a height of 65 feet.

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