whats 21° 44' 3" as a decimal to the nearest thousandth of a degree
1 ' = 1 ° / 60
1 " = 1 ' / 60 = 1 ° / 3600
21° 44' 3" =
21 + 44 / 60 + 3 / 3600 =
21 + 0.733333 + 0.000833 =
21.734166
21° 44' 3" = 21.734
rounded to the nearest thousandth of a degree
21° 44' 3" as a decimal to the nearest thousandth of a degree is approximately 21.734 degrees. But don't be too "acute" about it, this answer is definitely on the "right angle"!
To convert 21° 44' 3" to decimal degrees to the nearest thousandth, we follow these steps:
1. Convert minutes to decimal degrees: Divide the number of minutes by 60.
44' / 60 = 0.733333333
2. Convert seconds to decimal degrees: Divide the number of seconds by 3600.
3" / 3600 = 0.000833333333
3. Add the degrees, minutes, and seconds in decimal form to get the decimal degrees.
21 + 0.733333333 + 0.000833333333 = 21.733166666
Therefore, 21° 44' 3" is approximately equal to 21.733 degrees when rounded to the nearest thousandth.
To convert 21° 44' 3" to decimal form, you need to convert each part separately and then add them together.
1. Convert degrees to decimal form:
Since each degree is equal to 60 minutes, divide 44 minutes by 60 to get its decimal equivalent.
44/60 = 0.73333
Add the decimal degree to the whole degree:
21 + 0.73333 = 21.73333
2. Convert minutes to decimal form:
Each minute is equal to 60 seconds, so divide 3 seconds by 60 to get its decimal equivalent.
3/60 = 0.05
Add the decimal minutes to the whole degrees:
0.73333 + 0.05 = 0.78333
Therefore, 21° 44' 3" is approximately equal to 21.783 (rounded to the nearest thousandth of a degree).