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Math Help - DMS for to decimal form?

  1. #1
    Junior Member
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    DMS for to decimal form?

    Is this considered trigonometry?


    also help on these DMS forms.
    say...

    29^o54^\prime21^{\prime\prime}

    18^o36^\prime21^{\prime\prime}

    How would these be changed into decimal form and radian form?
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  2. #2
    Super Member
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    Quote Originally Posted by crosser43 View Post
    Is this considered trigonometry?


    also help on these DMS forms.
    say...

    29^o54^\prime21^{\prime\prime}

    18^o36^\prime21^{\prime\prime}

    How would these be changed into decimal form and radian form?
    To change from DMS to decimal form, remember that
    1 degree = 60 minutes = 3,600 seconds.

    So convert by dividing by the conversion factors:
    29^o54^\prime21^{\prime\prime}
    \begin{aligned}<br />
&= 29^{\circ} + \left(\frac{54}{60}\right)^{\circ} + \left(\frac{21}{3600}\right)^{\circ} \\<br />
&\approx 29.906^{\circ}<br />
\end{aligned}

    To convert to radians, take the decimal form and multiply by \frac{\pi}{180}:
    29.906^{\circ}\left(\frac{\pi\;\text{rad}}{180^{\c  irc}}\right) \approx 0.522\;\text{rad}

    I'll let you do the other one.


    01
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  3. #3
    Junior Member
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    Thank you, i understand perfectly. Very helpful.
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