Question
Modeling Ocean Tides In one day, there are two high tides and two low tides in equally spaced intervals.The high tide is observed to be
Modeling Ocean Tides
In one day, there are two high tides and two low tides in equally spaced intervals.The high tide is observed to be 6 feet above the average sea level.After 6 hours pass, the low tide occurs at 6 feet below the average sea level.In this task, you will model this occurrence using a trigonometric function by usingxas a measurement of time.Assume the first high tide occurs atx= 0.
Part A
What are the independent and dependent variables?
Part B
Determine these key features of the function that models the tide:
- amplitude
- period
- frequency
- midline
- vertical shift
- phase shift
Part C
Create a trigonometric function that models the ocean tide for a period of 12hours.
Part E
What is the height of the tide after 93 hours?
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