Question 7

A carnival ride consists of a vertical wheel with a diameter of 40 feet. The centre of the wheel is 28 feet above the ground. The wheel rotates at a constant speed and takes 120 seconds to make one complete revolution. Model an equation that describes the height $h(t)$ of a rider on the wheel as a function of time $t$. How high is the rider from the ground after 90 seconds? At what times will the rider be 36 feet above the ground?