Practice!

Sample Problem

Convert -316.42° to degree-minutes-seconds form.

-316°(degrees) ’(minutes) ‘’(seconds)

Give your answers in exact decimal form.

Solution

Keep the 316° part and find 0.42° in terms of minutes and seconds.

42/100=x/60 (1’= one minute = 1/60(1°))

100x=42 x 60=2520

x=25.2 min

2/10=x/60 (1’’= one second = 1/3600(1°))

120=10x

x=12 seconds

-316.42°=-316°(degrees) 25 ’(minutes) 12 ‘’(seconds)