In a tidal river, the time between high and low tide is 7.8 hours. At high tide the depth of water is 19.2 feet, while at low tide the depth is 5.1 feet. Assume the water depth as a function of time can be expressed by a trigonometric function (sine or cosine). Write an equation for the depth f(t) of the tide (in feet) t hours after 12:00 noon.
*I have tried to figure this problem out so many times and all my answers end up wrong. Close, but wrong, any help is greatly appreciated.*