]6. The water depth in a harbour is 13 m at high tide and 5 m at low tide. The time between high tide and low tide is 5 hours. Based on the above information:

Adetermine an equation that describes the water depth, h metres, as a sine function of the time, t hours,

after the low tide. Use exact values . (you can assume that low tide is happening at midnight)

Bsketch the graph of the function you found at a) over one period, using 5 points.

Show full work! You must use radians in both, the equation, and the sketch.