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

Question

jim_thompson5910 · Answer

Hint:

there are 60 minutes in a degree, so 1 degree = 60 minutes

Also, there are 60 seconds in a minute, or 60*60 = 3600 seconds in a degree. This means 1 degree = 3600 seconds

anonymous · Answer

@jim_thompson5910 I don't understand

jim_thompson5910 · Answer

57°29'38"

57° + 29' + 38"

57 + 29/60 + 38/3600 ... Use the conversion factors I described above

57 + 0.483333 + 0.0105555

57.4938885

57.49

So 57°29'38" is roughly 57.49°

jim_thompson5910 · Answer

One thing to notice: 30 minutes is half a degree, so 29 minutes is pretty close to that, which explains why the decimal part of the answer is close to 0.5

anonymous · Answer

Thank you