The water depth at a pier in Brooklyn followed a sinusoidal pattern on July 4th, with high tide of 2.7 meters at 9:36 am and low tide of 2.1 meters at 3:48 pm. The depth of the water can be modeled as a sinusoidal function of time with a period of half a lunar day, about 12 hours and 24 minutes.

1. Sinusoidal Word Problem One particular July 4 th in Brooklyn, NY high tide occurred at 9:36 am. At that time the water at the end of the 69 st Street Pier was 2.7 meters deep. Low tide occurred at 3:48 pm, at which time the water was only 2.1 meters deep. Assume that the depth of the water is a sinusoidal function of time with a period of half a lunar day (about 12 hours 24 minutes).

3. Model: sinusoidal function of time t