revolvesUdiametergroundA Ferris wheel is 28 meters in diameter and boarded from a platform that is 1 meter above the ground.The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1full revolution in 16 minutes. The function h (t) gives a person's height in meters above the ground tminutes after the wheel begins to turn.a. Find the amplitude, midline, and period of h (t).Enter the exact answers.Amplitude: A = NumbermetersMidline: h= NumbermetersPeriod: P = Numberminutesb. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheelstarts spinning at time t = 0. Find a formula for the height function h (t).Hints:• What is the value of h (0)?• Is this the maximum value of h (t), the minimum value of h (t), or a value between the two?• The function sin (t) has a value between its maximum and minimum at t = 0, so can h (t) be astraight sine function?• The function cos (t) has its maximum at t = 0, so can h (t) be a straight cosine function?c. If the Ferris wheel continues to turn, how high off the ground is a person after 40 minutes?Number1 meter

Solution: As per the given data, Diagrammatically it can be re-drawn as follows:

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