5. The first high and low tides in September, 2019 on Hilton head island, were a low tide at 4:40 AM of with a height of -0.3m, a high tide at 11:00 AM with a height of 2.9m, and a return to low tide at 5:20 PM. a) Based upon this, what are the amplitude and midline of the height of these tides? b) What is the period for one full cycle of the tides, measured in hours? c) If using a sine curve to model this, letting t = 0 represent midnight at the beginning of September 1, what is the phase shift?
Unitary Method
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Units and Measurements
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![5. The first high and low tides in September, 2019 on Hilton head island, were a low tide at 4:40 AM of with a height of
-0.3m, a high tide at 11:00 AM with a height of 2.9m, and a return to low tide at 5:20 PM.
a) Based upon this, what are the amplitude and midline of the height of these tides?
b) What is the period for one full cycle of the tides, measured in hours?
c) If using a sine curve to model this, lettingt = 0 represent midnight at the beginning of September 1, what is the
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phase shift?
d) Use the information above to write a function in the form y = a sin[b(x – c)] + d that models the tides.
e) Based upon your model, what was the height of the tide at 9:00 PM?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c21f7a1-de1c-4c9b-b1b9-a2a05af9fbaf%2F7cab08cc-c340-4940-b182-094755fa5849%2Fxdenuo_processed.jpeg&w=3840&q=75)
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