Modifying h(t) to Match New Tidal Data

[Veronica_Oles]

Homework Statement

The function h(t) = 5 sin (30(t+3)) is used to model the height of tides. On a different day, the maximum height is the minimum height is -8 and high tide occurs at 5:30am.
Modify function so it matches new data.

Homework Equations

The Attempt at a Solution

Answer: h(t) = 8 sin (30(t-2.5))

I know how to get the 8 b/c (8-(-8))/2 = 8

But I don't understand where the 2.5 comes from?

 

[haruspex]

Homework Statement

The function h(t) = 5 sin (30(t+3)) is used to model the height of tides. On a different day, the maximum height is the minimum height is -8 and high tide occurs at 5:30am.
Modify function so it matches new data.

Homework Equations

The Attempt at a Solution

Answer: h(t) = 8 sin (30(t-2.5))

I know how to get the 8 b/c (8-(-8))/2 = 8

But I don't understand where the 2.5 comes from?

This will become clear from the resolution of the other thread, which is essentially the same question.
Do you understand where the 30 comes from? (It really should be more like 29.)

 

[Veronica_Oles]

This will become clear from the resolution of the other thread, which is essentially the same question.
Do you understand where the 30 comes from? (It really should be more like 29.)

You take 360 divide it by the period then get k value?

 

[haruspex]

You take 360 divide it by the period then get k value?

Yes. What is the period in this case?

 

[Veronica_Oles]

Yes. What is the period in this case?

The period is 12.

 

[haruspex]

The period is 12.

Ok, but more accurate is 12.4.

 

[Veronica_Oles]

Ok, but more accurate is 12.4.

Okay.