Let 71389 and 425641 a Convert to the DMS system Round y

Let = 71.389° , and = 42°56\'41\" . a) Convert to the DMS system. Round your answer to the nearest second. b) Convert to decimal degrees. Round your answer to the nearest thousandth of a degree.

Solution

a)
d = int(71.389°) = 71°
m = int((71.389° - 71°) × 60) = 23\'
s = (71.389° - 71° - 23\'/60) × 3600 = 20.4\"
So,
71.389°= 71° 23\' 20.4\"
b)
42° 56\' 41\"
= 42° + 56\'/60 + 41\"/3600
= 42.94472°