Throughout the day, the water level, h(t), at Sunny Beach varies with the tides. Joe, a frequent visitor of Sunny Beach, arrived
at the beach at 12:00 p.m., and collected the following data, where t represents the number of hours since Joe arrived at the beach. t 0 1 2 3 4 5 h(t) 5 4.41 3 1.59 1 1.59 Joe lost some of his data, but he knows that the highest tide occurs at 12:00 p.m., and he was able to use a trigonometric function to model the height of the tide at any time. What is the period of the function that can be used to model the height of the tide
Joe's data shows the minimum to be 4 hours after his arrival at the beach. The time between maximum and minimum is half a period. (The other half brings the function back to its maximum.) If half a period is 4 hours, the whole period is 8 hours.
