The height of a person above the ground on a Ferris wheel is given by the function: 1 H (t) = 9 sin - 20 +12 2 where H(t) is the height in metres of the person t seconds after taking a seat on the Ferris wheel. Answer the following questions: 1. How long does it take the Ferris wheel to make one complete revolution? 2. How long, to the nearest second, after the rider takes a seat on the Ferris wheel does the rider first reach the height of 18 m? Hint 3. Is this the only function that could model this person's height on this particular Ferris wheel? Comment on your peer's answers to see if you can come to a consensus.