Convert the angle 35°58'38" to decimal degrees and round to the nearest hundredth of a degree.

Question

Convert the angle 35°58'38" to decimal degrees and round to the nearest hundredth of a degree.

35.99°

35.98°

35.94°

36.04°

 

 

help me please and show work please

Answer 1

The notation here is 35 degrees, 58 minutes and 38 seconds. There are 60 minutes in 1 degree and 60 seconds in one minute, or (60)² seconds in 1 degree. 

 

35° + (58/60)° + (38/3600)° ≈ 35.98°