A wooden water wheel is next to an old stone mill. The water wheel makes ten revolutions every minute, dips down two feet below the surface of the water, and at its highest point is 18 feet above the water. A snail attaches to the edge of the wheel when the wheel is at its lowest point and rides the wheel as it goes round and around. As time passes, the snail rises up and down, and in fact, the height of the snail above the surface of the water varies sinusoidally with time. Use this information to write the particular equation that gives the height of the snail over time.
