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:

1. amplitude
2. period
3. frequency
4. midline
5. vertical shift
6. 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?