# The diameter of a large Ferris wheel is 48 meters and it takes 2.8 minutes for the wheel to complete one revolution.

The diameter of a large Ferris wheel is 48 meters and it takes 2.8 minutes for the wheel to complete one revolution. A rider gets onto the wheel at its lowest point which is 60 cm above ground at t = 0.

a) Find a sinusoidal function h(t) that gives the height h, in meters, of the rider above ground as a function of the time t in minutes.

b) Find the time intervals for which the rider is at a height less than 30 meters for the period of time from t = 0 to t = 2.8 minutes.

c) How many minutes, from t = 0, does it take the rider to reach the highest point for the second time?