Vista Virtual School Math 30-1 Assignment 3 Summer 2022 6. 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 hmzix = 156 t=0. Show three complete cycles. (1 mark) h ( + ) /m h min = 150-140= 10 160 + 140- Period 73 min 120 midline: 4: 80 100 7 4= BO h (0) = h (3 )= 10 60 h ( 1:5) = 130 40 26 h (0. 7 s* h (z.Is ) 0 2 - 80 3 / min b. Determine a sine function that models the height of a cabin for the duration of the ride. Recall that when the directing word "determine" is used, steps need to be shown and/or explained. Show a calculation or explain your process for finding each value a, b, c & d. Use radian values where applicable. (2 marks) 6