In Daytona Beach, Florida, the first high tide was 3.99 feet at 12:03 A.M. The first low tide of 0.55 foot occurred at 6:24 A.M. The second high tide occurred at 12:19 P.M. (Lesson 6-6)
a. Find the amplitude of a sinusoidal function that models the tides.
b. Find the vertical shift of the sinusoidal function that models the tides.
c. What is the period of the sinusoidal function that models the tides?
d. Write a sinusoidal function to model the tides, using t to represent the number of hours in decimals since midnight.
e. According to your model, determine the height of the water at noon.