A Ferris wheel has a radius of 10m and the maximum height the chair reaches is 22m. The wheel takes 90 seconds to complete one revolution. a) Sketch a graph that represents the height h in metres, of the bottom chair, as a function of time t, in seconds. Sketch one complete cycle. 22 Height 20 18 16 14 12 10 8 6 4 2 0 Time b) Write an equation in terms of cosine, that expresses the height of the bottom chair, as at function of time in seconds. That is h-acos b(t-c)+d. c) What is the lowest height that any chair is above the ground? d) Estimate the height the chair is above the ground after 20 seconds. e) Estimate one of the times when the chair is 19m above the ground.