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Ocean Tide Trig

  1. May 11, 2016 #1
    1. The problem statement, all variables and given/known data

    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.

    2. Relevant equations


    3. 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?
     
  2. jcsd
  3. May 11, 2016 #2

    haruspex

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    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.)
     
  4. May 11, 2016 #3
    You take 360 divide it by the period then get k value?
     
  5. May 11, 2016 #4

    haruspex

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    Yes. What is the period in this case?
     
  6. May 11, 2016 #5
    The period is 12.
     
  7. May 11, 2016 #6

    haruspex

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    Ok, but more accurate is 12.4.
     
  8. May 11, 2016 #7
    Okay.
     
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