Ferris Wheel: how far above ground are you...?

xxjct711xx

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May 23, 2006
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As you ride a Ferris Wheel, your distance from the ground varies sinusoidally with time. When the last seat is filled, the wheel starts.

Let "t" be the number of seconds that have elapsed since the wheel started. You find that it takes you 8 seconds to reach the top and at that point, you are 54 feet off the ground. It takes 32 seconds to make one complete revolution.

If the diameter of the wheel is 58 feet, how high above the ground are you before the wheel begins to turn? (Let t = 0.)

* I have that the phase shift being 8 K = pi/16 C = -pi/2, and the equation is y = 29cos(pi/16x - pi/2) + 25, but I don't really know how I got to all that. It's a review for the final and we don't have the answers to the review, so if someone could help to explain this a little bit that would be great thanks!
 
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