The top of a bucket 0.5 meter high is attached to a water wheel of diameter 4.5 meters

Chapter 7, Problem 7.3.37

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The top of a bucket 0.5 meter high is attached to a water wheel of diameter 4.5 meters. The wheel sits above the river so that half of the bucket dips below the surface of the water at its lowest position. Write a function for the height of the center of the bucket (in meters) above the river as a function of the angle as measured counterclockwise from the 3 oclock position.

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