A person goes up a set of stairs of height 20 feet and boards the bottom of a ferris wheel of radius 30 feet. At t=0 seconds, the ferris wheel starting turning one revolution every 90 seconds. The height of the rider above the ground in feet as a function of time t in seconds is given by h(t) = 50-30 cos πt 45 a) When does the rider reach a height of 50 feet above the ground? State the first two times it does this - order does not matter. at seconds b) When doe the rider first reach a height of 65 feet? at seconds

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