
Tides The length of time between consecutive high tides is 12 hours and 25 minutes. According to the National Oceanic and Atmospheric Administration, on Saturday, March 28. 2015, in Sitka, Alaska, high tide occurred at AM ( hours) and low tide occurred at PM ( hours). Water heights arc measured as the amounts above or below' the mean lower low water. The height of the water at high tide was feet, and the height of the water at low tide was feet.
(a) Approximately when will the next high tide occur?
(b) Find a sinusoidal function of the form that models the data.
(c) Use the function found in part to predict the height of the water at 6 PM on March 28, 2015.

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