Question

The CCA's Williamsport Family Service Center is located at: 41.247287°, -76.983355°.What is the measurement in degrees, minutes, and seconds?Conversion Ratios1 degree = 60 minutes1 minute = 60 seconds

Answer 1

To convert decimal degrees to degrees, minutes and seconds we need to take the following steps:

0. For the degrees use the whole number part of the decimal

,

1. For the minutes multiply the remaining decimal by 60. Use the whole number part of the answer as minutes.

,

2. For the seconds multiply the new remaining decimal by 60

With this in mind we have:

`\begin{gathered} 41.247287\degree=41\degree(0.247287)(60) \\ =41\degree14.83722^(\prime) \\ =41\degree14^(\prime)(0.83722)(60) \\ =41\degree14^(\prime)50.2332^(\prime\prime) \end{gathered}`

and

`\begin{gathered} -76.983355\degree=-76\degree(0.983355)(60) \\ =-76\degree59.0013^(\prime) \\ =-76\degree56^(\prime)(0.0013)(60) \\ =-76\degree56^(\prime)0.078^(\prime)^(\prime) \end{gathered}`

Therefore, the measurent is degrees, minutes and seconds is:

`41\degree14^(\prime)50.2332^(\prime)^(\prime),-76\degree56^(\prime)0.078^(\prime)^(\prime)`