Question

How do I solve this?

A ferris wheel is 35 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).

Answer 1

This is a case of sinusoidal variation since you are dealing with a linear distance in the vertical as something goes around a circle.
The minimum height is given as 2 meters, and the diameter of the wheel is given as 35 meters. So we know that the maximum height is 37 meters and the middle is 19.5 meters, meaning that the height is going to vary by 17.5 meters (half the diameter) above and below 19.5 meters.

Lets, start work.

Wheel radius is 35/ 2 = 17.5

Period = 10

The lead coefficient sign, negative because the function is at a minimum at time zero.