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To convert minutes and seconds into decimal parts of a degree, divide the number of minutes by 60 and the number of seconds by 3600. Then, add the numbers together.

Write the location of Roanoke, VA, as a decimal to the nearest thousandth of a degree.

Answer :

Final answer:

To convert the geolocation of Roanoke, VA into decimal degrees, minutes are divided by 60 and seconds by 3600, and values are added together. This gives 37.270°N, 79.945°W.

Explanation:

The location of Roanoke, VA is traditionally given in degrees, minutes, and seconds as 37°16'13"N, 79°56'41"W. In order to convert this to a decimal degree representation, each component should be dealt with separately.

For latitude (37°16'13"N), we convert the minutes and seconds into decimal form by dividing by 60 and 3600 respectively, rounding it to the nearest thousandths. That provides: 37 + 16/60 + 13/3600 = 37.270. Similarly, for longitude (79°56'41"W), we get: 79 + 56/60 + 41/3600 = 79.945. Hence, the decimal location of Roanoke, VA could be written as 37.270°N, 79.945°W.

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