The average depth of water at the end of a dock is 8 feet. This varies 5 feet in both directions with the tide. Suppose there is a high tide a 4 AM.
If the tide goes from high to low every 8 hours, write a sine function, d(t)
describing the depth of the water as a function of time with t = 4
corresponding to 4 AM.
When will the tide first reach a depth of 3 feet?