Ocean Tide Trig

  • #1

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?
 

Answers and Replies

  • #2
haruspex
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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.)
 
  • #3
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?
 
  • #7

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