Pre-Calc Ferris Wheel Modelling Problem

Question

The Ferris wheel in the following diagram has a radius of 30 feet, and it’s center is 40 feet from the ground, and it makes one revolution every 40 seconds.

1. Write the equation of the height of the rider at any time t, if at t = 0, the rider is at position A. (Use radians to measure the angle of rotation.)

2. At what time(s) is the rider 55 feet above the ground?

3.Write the equation of the height of the rider at any time t, if at t = 0, the rider is at position G. (Use radians to measure the angle of rotation)

Answer 1

sinα=h/rad; in this case: sinα=h/30+10.