A circular clock hangs on a wall such that the base of the clock is exactly 8 feet from the ground. The minute hand of the clock is long enough to reach the edge of the clock, and the length of the minute hand from the center of the clock to the edge is 6 inches. The clock functions appropriately, that is to say that it takes one hour for the minute hand to complete one cycle of measuring the edge of the clock. The distance from the ground to the outside tip of the minute hand can be written as a trigonometric function of time, h(t) , where h is the height in inches and t is the time in minutes. The function starts when t=0 (the beginning of the hour)