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Convert from degrees-minutes-seconds to decimal degrees.Round your answer to the nearest thousandth.

Convert From Degreesminutesseconds To Decimal DegreesRound Your Answer To The Nearest Thousandth class=

Sagot :

Given:

[tex]25\degree46^{\prime}11^{\prime}^{\prime}[/tex]

Required:

To convert the given degrees-minutes-seconds to decimal degrees.

Explanation:

Consider

[tex]25\degree46^{\prime}11^{\prime}^{\prime}[/tex]

Now

[tex]\begin{gathered} 11\div3600=0.00305 \\ \\ 46\div60=0.76666 \\ \\ 25\div1=25 \end{gathered}[/tex]

Therefore

[tex]\begin{gathered} =25+0.76666+0.00305 \\ =25.76971\degree \end{gathered}[/tex]

Final Answer:

[tex][/tex]

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