Recall that angles can be measured in degrees minutes and se

Recall that angles can be measured in degrees, minutes and seconds. There are 60 seconds in one minute, and 60 minutes in one degree. Therefore, 45.5 degrees would equal 45 degrees and 30 minutes. Convert 21 degrees, 16 minutes, and 48 seconds to decimal degrees (note most calculators will do this at the push of a button), do it by hand too. Convert 172.216 degrees to degrees, minutes and seconds.

Solution

5) 21 deg , 16 minutes and 48 seconds

Now 16min = 16/60 deg = 0.267 deg

48sec = 48/(60*60)deg = 0.013 deg

21 + 0.267+ 0.013 = 21.28 deg

6) 172.216 deg to deg , minutes and seconds

172 deg

0.216*60 = 12.96 minutes

0.96*60 =57.6 = 57 sec

So, 172.216 deg = 172 deg 12minutes and 57 sec