The height, H(t) metres, of the tide above mean sea level at t hours after midnight on a particular day is given by H(t) = 4 cos (1), 0t 24. a) What is the height of the tide when: i. t = 0 hour ii. t = 24 hour b) What is the period of the function? c) Sketch the graph of H(t) against t for 0 sts 24. d) At what time is high tide? e) A pier can only be accessed when the tide is less than 2 metres above mean sea level. Find, to the nearest hour, the times when the pier can be accessed on this day?