Suppose that the length of time between consecutive high tides is 12 hours and 28 minutes. According to the National Oceanic and Atmospheric Administration, on a particular day in a city, high tide accurred at 12:28 AM (0.47 hours) and low tide occurred at 7:05 AM (7.08 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.92 feet and the height of the water at low tide was 0.06 foot. Complete parts (a) through (c). (a) Approximately when will the next high tide occur? The next high tide will occur at 12:56 PM. (b) Find a sinusoidal function of the form y= A sin (ax -) +B that models the data. y = 2.93 sin (0.504 x+ 1.335) + 2.99 (Simplity your answers. Round to the nearest thousandth as needed.) (c) Use the function found in part (b) to predict the height of the water at 4 PM. The height of the water at 4 PM is approximately . (Simplify your answer. Type an integer or decimal rounded tg the nearest thousandth as noeded

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