On a particular Labor Day, the high tide in southern California occurs at 7:12 am. At that time you measure the water at the end of Santa Monica Pier to be 11 ft deep. At 1:24 pm, it is low tide, and you measure the water to only be 7 ft deep. Assume the depth of the water is a sinusoidal function of time with a period of half a lunar day (12 hr, 24 min)
A) Write an equation that represents this function.
B) At what time does the first low tide occur?
C) What was approximate depth of the water at 9 pm?
D) What is the first time on that Labor Day that the water is 9 ft Deep?
Thanks if anyone attempts this beast.