Results 1 to 2 of 2

Math Help - High Tide, Low Tide

  1. #1
    Newbie
    Joined
    Dec 2008
    Posts
    12

    High Tide, Low Tide

    The water depth in a harbour is 12 m at high tide and 11 m at low tide. One cycle is completed approximately every 12 hours. Find an equation for the water depth as a function of the time.


    I am very confused on how we would find out the equation, and I have already tried with the amplitude and period. PLEASE HELP!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    let d = water depth

    d = A\sin(Bt) + D

    amplitude ... A = \frac{12-11}{2} = \frac{1}{2}

    B = \frac{2\pi}{T} = \frac{2\pi}{12} = \frac{\pi}{6}

    mean height, D = \frac{12+11}{2} = \frac{23}{2}

    d = \frac{1}{2}\sin\left(\frac{\pi}{6} t\right) + \frac{23}{2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How high and how far problem?
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: March 13th 2011, 02:20 PM
  2. Tide removing sand from a beach
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 23rd 2011, 05:09 PM
  3. The equation of a Tide: with cos or sin?
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: May 26th 2008, 06:34 PM
  4. (A o r)(t) results too high
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 13th 2008, 01:34 PM
  5. sketching tide functions
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: October 28th 2006, 11:46 PM

Search Tags


/mathhelpforum @mathhelpforum