A ferris wheel has a radiusof 75 feet and its center is 80 feet above the ground. You ride the wheel oncearound and get off.(a) Find a function that expresses your height in terms of the angle ofrotation of the wheel since you boarded. Be sure to give the function a nameand define its input and output (with units) in complete sentences. Includethe function's domain. Explain your reasoning clearly.(b) When you are 108 feet above the ground for the second time, the wheelcomes to a stop. It then turns through a small angle and stops again. Ap-prorimate the change in your height in terms of this small angle of rotation.Be sure to define these changes precisely and to erplain your logic.(c) Suppose the wheel turned through an angle of 2° as described in part(b). Use your result of part (b) to approximate the change in your height.Include units at each step and for each number in the computation.Craft your response to this question in the form of a letter to a friend.Incoporate the statement of the problem in the flow of your letter (ie. do

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