Brielle and Elaine always travel to the Sunset Beach together for their summer vacation. Through the years, they return to the same section of beach and spend their time around the pier. Elaine has noticed that the water rises and falls on the posts of the pier and thinks the height of the water could be described as a sinusoidal function of time. Brielle was snorkeling and noticed that the pier posts are slimy up to the lowest level of the tide which was 2 feet for this particular post. Since Brielle and Elaine were on vacation, they had nothing better to do and found out there was a low point on the post at eight o'clock in the morning and a high point 40 inches higher at two o'clock in the afternoon. Find an equation of the height of the water relative to the post as a function of time from 12 o'clock midnight.