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 using x as a measurement of time. Assume the first high tide occurs at x = 0.
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 12 hours.
Part E
What is the height of the tide after 93 hours?
