Xavier is riding on a Ferris wheel at the local fair. His height can be modeled by the equation H(t) = 20 cos(pi/15) t + 30, where H represents the height of the person above the ground in feet at t seconds.

Part 1: How far above the ground is Xavier before the ride begins?

Part 2: How long does the Ferris wheel take to make one complete revolution?

Part 3: Assuming Xavier begins the ride at the top, how far from the ground is the edge of the Ferris wheel, when Xavier's height above the ground reaches a minimum?

Question

Xavier is riding on a Ferris wheel at the local fair. His height can be modeled by the equation H(t) = 20 cos(pi/15) t + 30, where H represents the height of the person above the ground in feet at t seconds.

Part 1: How far above the ground is Xavier before the ride begins?

Part 2: How long does the Ferris wheel take to make one complete revolution?

Part 3: Assuming Xavier begins the ride at the top, how far from the ground is the edge of the Ferris wheel, when Xavier's height above the ground reaches a minimum?