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]
