Sinusoidal word problem help?

[castaelle]

A group of students decided to study the sinusoidal nature of tides. The depth of the water level was recorded at various times. At t = 2 hours low tide was recorded at a depth of 2 m. At t = 8 hours, high tide was recorded at a depth of 4 m. What was the depth of the water at time t = 5?

Explain how you did it please.

 

[Deleted member 4993]

A group of students decided to study the sinusoidal nature of tides. The depth of the water level was recorded at various times. At t = 2 hours low tide was recorded at a depth of 2 m. At t = 8 hours, high tide was recorded at a depth of 4 m. What was the depth of the water at time t = 5?

Explain how you did it please.

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Can you write a sinusoidal function?

Assuming high-tide is the highest point and low tide is the lowest point - can you approximately sketch the function (water depth) as a function of t(ime)?