A Ferris wheel is 37 meters in diameter and the bottom of the Ferris wheel is 8 meters above the ground. You board the Ferris wheel at the 3 o'clock position.

a. The wheel completes one full revolution every 2.8 minutes. What is the angular speed (in radians per minute) that the Ferris wheel is rotating?

b. Write a formula that gives the angle measure (in radians) swept out from the 3 o'clock position, a , in terms of the number of minutes elapsed since you boarded the Ferris wheel, t

c. Define a function f that gives your height above the ground (in meters) in terms of the number of minutes elapsed since you boarded the Ferris wheel.