Question

High tide occurs at 8:00AM and is 2m above sea level. Six hours later, low tide is 2m below sea level. After another 6h, high tide occurs (again 2m above sea level), then finally one last low tide (6h later, 2m below sea level).

(a) write a mathematical expression that would predict the level of the ocean at this beach at any time of day. Set t=0 to midnight. It may help to draw a sketch first.

(b) Find the times in the day when the ocean level is exactly at sea level.

please include how to do this problem step by step. Thank you!

Answer 1