Jesse and Tanya dock their sailboat in an ocean area named Rock Port. Their boat reaches 1 m below the water line. They carefully watch the tides to determine their sailing times so they will not run aground. At 10 A.M. the water is at high tide. The depth of the water is 1.5 m during high tide and 0.7 m during low tide. Low tide occurs at 6 p.m. Since this behavior is periodic, Jesse and Tanya decide to write an equation to predict the sailing times. Help them determine the coefficients A, B, C, and D.
represents half of a circle, then the tide cycle has a period of _____________ hour

Question

Jesse and Tanya dock their sailboat in an ocean area named Rock Port.  Their boat reaches 1 m below the water line.  They carefully watch the tides to determine their sailing times so they will not run aground. At 10 A.M. the water is at high tide.  The depth of the water is 1.5 m during high tide and 0.7 m during low tide.  Low tide occurs at 6 p.m. Since this behavior is periodic, Jesse and Tanya decide to write an equation to predict the sailing times.  Help them determine the coefficients A, B, C, and D.
represents half of a circle, then the tide cycle has a period of _____________ hour

anonymous · Answer

Tide can be assimilated to a sinusoidal. 

Duration of tide is High tide time - Low time tide : du
Amplitude of tide is High water level - low water level: A
t is time since low water or high water, depending reference choosen

Value of the height h of water at any given time:

$$h =A \times \sin ^{2}(90.t divdu)$$

Example What height of tide at 12hoolt

du= 8h
t=6 before low tide
A=0,8m then depth of water is 1,38m. To calculate at what time will be a given height just reverse the formula.

Then:  h=0.68m then

anonymous · Answer

this is not a joke