High tide is at 3:36 am at 7.2 meters deep and low tide is at 9:06 am at 2.6 meters deep, what is the sin equation for this?

Answer 1

The total height of the water is 7.2 + 2.6 = 9.8, so the normal tide height is half that at 4.9m.

The maximum wave height is at 3:36am and low tide is 9:06am for a half cycle of 5:30 hours, so the full cycle time is 11:00 hours. Using the formula ASin(Bt) + C

A = 7.2 - 4.9 = 2.3 which is the height of the wave from its dead calm state.

The Period = 2π/B so 11 = 2π/B, B = 2π/11. C is no tide level of 4.9m

The equation is 2.3Sin(2π/11 t) + 4.9