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Decimal Degrees to DMS Formula - Converting Degrees Minutes and Seconds to Decimal - Trigonometry
To convert decimal degrees to degrees, minutes, and seconds (DMS), you first separate the whole number part (degrees). Then, multiply the decimal part by 60 to get minutes. Finally, multiply the remaining decimal part of the minutes by 60 again to get seconds.
Conversion Steps:
1. Degrees:
The whole number part of the decimal degrees is the number of degrees in the DMS format.
2. Minutes:
Multiply the decimal part of the degrees by 60. The whole number part of the result is the number of minutes.
3. Seconds:
Multiply the decimal part of the minutes by 60. The result is the number of seconds.
Example:
Let's convert 34.678 degrees to DMS:
Degrees: The whole number part is 34, so you have 34°.
Minutes: 0.678 * 60 = 40.68. So, you have 40 minutes.
Seconds: 0.68 * 60 = 40.8, which rounds to 41 seconds.
Therefore, 34.678 degrees is equal to 34° 40' 41".