In Exercises 1-43, solve the problem using your knowledge of geometry and the techniques of this section. Sketch a figure if one is not provided.
31. Ferris Wheel Motion The Ferris wheel shown in this figure makes one complete turn every 20 sec . A rider's height, h, above the ground can be modeled by the equation h=asinωt+k, where h and k are given in feet and t is given in seconds.

(a) What is the value of a ?
(b) What is the value of k ?
(c) What is the value of ω ?