A Ferris wheel has an approximate height of 150 metres and a 140-metre diameter. a. If the wheel rotates every three minutes, draw a graph which represent the height of a cart, in metres, as a function of time in minutes. Assume that the cart is at its lowest position at t=0. Show three complete cycles.

b. Determine a sine function that models the height of a cabin for the duration of the ride. Show a calculation or explain your process for finding each value a, b, c & d. Use radian values where applicable.