Question

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

Answer 1

Given:

`25\degree46^(\prime)11^(\prime)^(\prime)`

Required:

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

Step-by-step explanation:

Consider

`25\degree46^(\prime)11^(\prime)^(\prime)`

Now

`\begin{gathered} 11/3600=0.00305 \\ \\ 46/60=0.76666 \\ \\ 25/1=25 \end{gathered}`

Therefore

`\begin{gathered} =25+0.76666+0.00305 \\ =25.76971\degree \end{gathered}`

Final Answer: