(Solved): Ch. 7 Application Name: 18 Captain Highliner needs your help again! His trawler is in harbour and i ...

Ch. 7 Application Name: 18 Captain Highliner needs your help again! His trawler is in harbour and is ready to leave. There is a sandbar at the entrance to the harbour and the trawler needs enough water to pass over the sandbar. At high tide there is 10 metres of water over the bar and at low tide only 2 metres. The period for the tides is approximately 12 hours and the trawler needs at least 4 metres of water to operate. The current time is $10:00\mathrm{am}$ and the tide is at its highest point. a) Create an equation to express the depth of water over the sandbar as a function of time. (4 marks) b) What is the latest time of day (on the clock) that Captain Highliner will be able to get his trawler over the sandbar? Make sure that you show all of your work for full marks. (4 marks)