The model for the height of a passenger on a Ferris wheel is H(t)=20−19cos32πt , where H is the height in metres above the ground, and t is in minutes.
a. Where is the passenger at time t=0 ?
b. At what time is the passenger at the maximum height in the first revolution of the wheel?
c. How long does the wheel take to complete one revolution?
d. Sketch the graph of the function H(t) over one revolution.
e. The passenger can see his friend when he is at least 13 m above the ground. During what times in the first revolution can the passenger see his friend?