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Math Help - Help with minutes and seconds problem

  1. #1
    Junior Member
    Joined
    Jun 2005
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    43

    Help with minutes and seconds problem

    Please help. I have an example that doesn't explain the answer. Here's the example.

    cos A = 6/10
    cos A = .6000
    A = 53 degrees 08 minutes.

    I don't see how we arive at the 53deg.08min.

    Please help.
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  2. #2
    Site Founder Math Help's Avatar
    Joined
    Apr 2005
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    171

    degrees minutes seconds

    arccos(.6) = 53.1301024 degrees

    1 minute = 1/60 degrees

    .1301024/(1/60) = 7.806144

    or about 8 minutes if you round to the nearest minute
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  3. #3
    Newbie
    Joined
    Jul 2005
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    8

    DMS conversion

    As a programmer, once I do the Cos-1(0.6) and get 53.13010235, I subtract the integer (53) and get 0.13010235. Then I multiply by 60 to get 7.806141234, which is 7 minutes. I then subtract the integer (7) to get 0.806141234. Then I multiply by 60 again to get the seconds, which is 48.36847404. This is how DMS conversion is done in your calculator. So the DMS answer is 53 deg 7' 48.36847404".

    To get Decimal from the DMS (go backwards), I divide the 48.36847404" by 3600 which is 0.013435687. Then I take the minutes (7) and divide by 60 which is 0.116666667 and add both numbers to the 53 degrees:
    0.013435687+0.116666667+53=53.13010235 which checks with the number we started with!
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