Suppose high tide is at midnight, the water level at midnight is 3 m, and the water level at low tide is 0.5 m. Assuming the next high tide will occur 12 hours later (at noon), find the time, to the nearest minute, when the water level is at 1.125 m for the second time after midnight.

We have that the time, to the nearest minute, when the water level is at 1.125 m for the second time after midnight is

From the Question we are told that

Maximum height

Minimum height  

Time for  next high tide will occur

Generally Average Height

Therefore determine Amplitude to be

Generally, the equation for Time is mathematically given by

At t=0

Where

Therefore

Hence the Time at is

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this isn't the answer but they're the graphs