Burntcoat Head in Nova Scotia, Canada, is known for its extreme fluctuations in tides. One day in April, the first high tide rose to 13.25 feet at 4:30 A.M. The first low tide at 1.88 feet occurred at 10:51 A.M. The second high tide was recorded at 4:53 P.M.
a. Find the amplitude of a sinusoidal function that models the tides.
b. Find the vertical shift of a sinusoidal function that models the tides.
c. What is the period of a 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 7:30 P.M.