7. Pitt lake is a freshwater lake in southern British Columbia with the highest tidal change of any freshwater lake in the world. In a daily 24-hour period, the highest tide is traditionally at 11:00 am, reaching 5.8 m, and the lowest tide is traditionally at 11:00 pm, reaching only 0.4 m (These are seasonal times and heights). a) Determine a function that gives the total height of the lake, h, in terms of the hours after midnight. b) Create a sketch of this function. (Don't forget to label sketch) c) What is the tidal height at 1:30 pm?