Which is the equivalent of 17298degree written in DMS form A

Which is the equivalent of 172.98degree written in DMS form? A. 172degree 58\' 48\" B. 172degree 30\' 4.8\" C. 172degree 34\' 8\" D. 172degree 58\' 0\"

Solution

172.98⁰

Now (0.98 degrees)(60 minutes / 1 degree) = 58.8 minutes

...or 58 minutes and 0.8 of a minute. Each minute has sixty seconds, so:

(0.8 minutes)(60 seconds / 1 minute) = 48 seconds

Hence Answer is

Then 172.98° = 172° 58\' 48\"