The carnival is in town. A particular Ferris Wheel has a height of 125 meters, a diameter of 120, rotation speed of 17 minutes/revolution.

a. Draw and label a diagram of the Ferris wheel.

b. Calculate the angle of rotation per minute.

c. Identify the period, amplitude and any shifts present.

d. Create a trigonometric function to model the height of the Ferris wheel over time.

e. Graph the trigonometric function created in part d.

f. If a period got on the Ferris wheel ground level, what would her height be at 5, 10, and 15 minutes?

g. How long does the ride last going once around the Ferris wheel?