simple harmonic motion: ferris wheel

Question

A person is seated on a Ferris wheel of radius 100 ft that makes one rotation every 30s. The center of the wheel is 105 ft above the ground.

a. What is the function that represents the person’s height above the ground?

b. What is the person’s height above the ground on the Ferris wheel after 125 seconds?

Answer 1

Height = 105+50sin(πt/15)

Height(125)=105+50sin(π125/15)=148 feet