Suppose that you are sitting in a chair on a Ferris wheel that has a diameter of 120 feet that is boarded 6 feet above the ground at the 6 o’clock position. If the Ferris wheel moves in a counterclockwise direction and makes one revolution every 12 minutes, how high will your chair be off the ground after 6 minutes? After 32 minutes? At 9 minutes, is your chair going up or

Question

going down?

Answer 1

boarding at t=0, the height y at time t minutes is

y = -60cos(pi/6 t) + 6

Now just start plugging in your numbers.