PROBLEM 12: A boat sits at a dock and at midnight (12 A.M.) it sits 4 feet above the water. The height of the boat moves with the tide, and at high tide (12 P.M), the boat sits 50 feet above the water. The boat returns to 2 feet above water at midnight again. Model this situation with a sine or cosine function and graph one full period!PROBLEM 9: The following function gives the height of a rung of a waterwheel h(t) = -30 sin+26 where t is in seconds and h(t) is in feet a. ) What is the diameter of the waterwheel? b. ) What is the height of the rung AT THE TOP OF THE WHEEL? c. ) How many full rotations does the wheel make in 1 minute ? From Bro PROBLEM 10: The Ferris Wheel at Six Flags Great America has a diameter of 200 feet and is 5 feet off of the ground. The Ferris Wheel makes one full rotation every 4 minutes. You board the Ferris Wheel at the EXACT BOTTOM. a.) Would you use sine or cosine to model your height on this ferris wheel? Why? b.) Model your height on the Ferris wheel h(t) given the time t in seconds since you boarded c.) Graph one period of a trip around the Ferris wheel. After how long do you reach the maximum height