Question

Convert the angle 57°29'38" to decimal degrees and round to the nearest hundredth of a degree.

Answer 1

The answer is 57.49°

57°29'38" = 57° + 29' + 38"

1° = 60'
x° = 29'
1 : 60 = x : 29
x = 29 * 1 : 60 = 0.48°
29' = 0.48°

1° = 3600''
x° = 38''
1 : 3600 = x : 38
x = 38 * 1 : 3600
x = 0.01°
38'' = 0.01°


57°29'38" = 57° + 29' + 38" = 57° + 0.48° + 0.01° = 57.49°