MATH!! PRE-CAL PLZ HELP & EXPLAIN HOW U WORKD IT OUT!!!

Question

1. Change each measure to degrees,minutes,& seconds.

ex. -18.75degrees

2. Write each measure as a decimal to the nearest thousandth,

ex. 23degrees 14' 30"

Answer 1

There are 60 minutes (m) in one 1 degree (d), and 60 seconds (s) in 1 minute (m).

1.

18.75d

= 18d + (0.75 * 60) m

= 18d 45m 0s.

2.

14m 30s

= (14 + 30 / 60) m

= 14.5 m.

23d 14m 30s

= 23d 14.5m

= (23 + 14.5 / 60)d

= 23.242 d.