The London Eye is a large ferris wheel in London England. The total height of the structure is 135m and the wheel has a diameter of 120m. It takes 30minutes for one revolution.

Assume you board the eye at the lowest point, draw a graph of your height from the ground for one complete rotation and determine the equation that models your motion. Be sure to include a table of values with your graph.

Using your equation answer the following questions:
a) What is vour height 10 minutes into the ride?

b) At what time do you reach your maximum height?

c) How would your equation change if the eye made one revolution in 20 minutes? Write the new equation.

d) How would your equation change if we assumed the question began when you were at the highest paint of the eye? Write the new equation.