The depth of water at the end of the pier varies with the tides throughout the day. Its graph is roughly sinusoidal. On Dec 29, 2023, the high tide occurs at 9 am with a depth of 5.7 ft. The low tide occurs on the same day at 5 pm with a depth of -0.5 ft.
a. Sketch a graph to model the tides on Dec 29, 2023.
b. Find a trig equation (sine or cosine) that models the depth of water (t) hours after midnight.
c. Use your equation to find the depth of water at noon on Dec 29, 2023.
