The length of time between consecutive high tides is 12 hours and 25 minutes. According to the
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The length of time between consecutive high tides is 12 hours and 25 minutes. According to the National Oceanic and Atmospheric Administration, on Friday, April 1, 2022, in Sitka, Alaska, high tide occurred at 3:43 am (3.72 hours) and low tide occurred at 10:40 am (10.67 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 10.27 feet, and the height of the water at low tide was −1.80 feet.
(a) Approximately when did the next high tide occur?
(b) Find a sinusoidal function of the form
(c) Use the function found in part (b) to predict the height of the water at 3 pm.
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a To determine approximately when the next high tide occurred we need to add the time between consecutive high tides 12 hours and 25 minutes to the ti...View the full answer
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