5. In a little fishing village, the depth D (in centimeters) of the water at the end of the dock changes according to the function D = 55 sin ( (t 3)) + 87 where t is the number of hours since midnight. a) When will the village have its first high tide (maximum depth)? b) When the village have its first low tide (minimum depth)? At 5:00 PM, what is the rate of change of the water's depth? Include appropriate units, and clearly state whether the water level is rising or falling.