Amare wants to ride a ferris wheel that sits four meters above the ground and has a diameter of 50 meters. it takes six minutes to do three revolutions on the ferris wheel. complete the function, h(t), which models amare's height above the ground, in meters, as a function of time, t, in minutes. assume he enters the ride at the low point when t = 0.

The required function is .

Step-by-step explanation:

The general form of a cosine function is

             .... (1)

where, A is amplitude, is period, C is phase shift and D is mid line.

It is given that Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. So the minimum value of the function is 4 and maximum value of the function 54 meters.

It takes six minutes to do three revolutions on the Ferris wheel.

Phase shift is not given so C=0.

Substitute B=π, C=0 and D=29 in equation (1).

            ... (2)

He enters the ride at the low point when t = 0. It means the function passes through the point (0,4).

The amplitude is -25. Put this value in equation (2).

Therefore the required function is .