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

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°