Question 4 a) Tim is taking a ride at six flags. His sister Mary starts a stopwatch and records some data. Let h represent Tim's height above the ground at time t. Mary notices that Tim is at the Highest point, 80 feet above the ground, when t =3 seconds. When t = 5 seconds, Tim is at the lowest point, 20 feet above the ground. Assume that the height varies sinusoidally with time. i) Write a trigonometric equation for the height of Tim above the ground as a function of time. [4Pts] ii) What will Tim's height be at t =15 seconds? iii) Determine the first two times, Round your answer to 3.d.p. [2pts] when Tim's height is at t = 0 [2pts]