Answer:
The required function is
.
Step-by-step explanation:
The general form of cosine function is

where, A is amplitude,
is period, C is phase shift and D is midline.
It is given that the 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 is 50+4=54.

It takes six minutes to do three revolutions on the Ferris wheel. So, period of the function is


The period of a cosine function is

The function have no phase shift. So, C=0.
Substitute y=h(t), B=π, C=0 and D=29 in equation (1) to find the function.

It is given that the ride is at the low point whet t=0, it means the function passes through the point (0,4).
Substitute t=0 and h(t)=4 in the above function.


Subtract 29 from both the sides.


The amplitude of the function is -25.
Substitute y=h(t), A=-25 B=π, C=0 and D=29 in equation (1) to find the function.

Therefore the required function is
.