2. Suppose at a particular beach on a particular day the tide is low at noon, and that the height in feet above low tide t hours afterwards is given by f (t) = -2cost +2 In the problems below, round all your answers to two decimal places, and include units. a. What's the height of the tide at noon the next day? (1 point) b. We'd like to know at what time the tide reaches 1.5 feet above low tide. First, graph the function from part (a) on your calculator or Desmos. In the same window, graph the line y = 1.5. Investigate the intersection of the two graphs. (This video shows you how to find the intersection on your calculator, or in Desmos just hover the cursor over the point.) At what value t > 0 does the line first intersect with your sinusoidal function? At what approximate time of day would this be? (1 point) c. Now we'd like to answer the same question as in part (c), but using algebra. Set your function from part (a) equal to 1.5, and solve the equation for the trig function in it. Show all your work! At what approximate hour would this be? Round your answer to the nearest half-hour. (4 points)