Convert the angle 301 degree 413 to decimal degrees and roun

Convert the angle 301 degree 4\'13\" to decimal degrees and round to the nearest hundredth of a degree.

Solution

The notation here is 301 degrees, 4 minutes and 13 seconds. There are 60 minutes in 1 degree and 60 seconds in one minute, or (60)² seconds in 1 degree.

301° + (4/60)° + (13/3600)° ==> 301 + 0.0666666 + 0.00361111111 ==> 301.070277711

Therefore in decimal degrees is 301.07