One day in March in Hilton Head, South Carolina, the first high tide occurred at 6:18 A.M. The high tide was 7.05 feet, and the low tide was -0.30 feet. The period for the oscillation of the tides is 12 hours and 24 minutes.
a. Determine what time the next high tide will occur.
b. Write the period of the oscillation as a decimal.
c. What is the amplitude of the sinusoidal function that models the tide?
d. If t 0 represents midnight, write a sinusoidal function that models the tide.
e. At what time will the tides be at 6 feet for the first time that day?