Suppose that the length of time between consecutive high tides is approximately

Question

Suppose that the length of time between consecutive high tides is approximately 12.5 hours. According to the National Oceanic and Atmospheric Administration, on a particular day in a city in Georgia, high tide occurred at 3:34 AM (3.5667 hours) and low tide occurred at 10:04 AM (10.0667 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 8.4 feet and the height of the water at low tide was - 0.4 foot. Answer parts (a) through (c) below. (a) Approximately when will the next high tide occur?:0 PM

Explanation / Answer

solution:

time of travelling of tides= 12.5 hrs

now'

high tide occurred at 3:34 AM (3.5667 hours) and low tide occurred at 10:04 AM (10.0667 hours)

now next high tide will occur at

T= 3.5667+12.5

=16.0667

= 16 hours + 0.0667*60

= 16 hours + 4.002 mins

hence next high tide will occur at 4:04 PM

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