## babydoll332 3 years ago Convert the angle 30°37'11" to decimal degrees and round to the nearest hundredth of a degree. please explain completely how you got to it

1. babydoll332

2. zordoloom

IT would be be 30.62 degrees. You start by dividng 37 by 60. and 11 by 3600. Let me further explain

3. ccappiello

there are 60 minutes in a degree and sixty seconds in a minute, so there are 3600 seconds in a degree. 30 degrees + 37 minutes + 11 seconds is 30+37/60+11/3600 degrees.

4. zordoloom

It seems as if @ccappiello beat me the explanation.

5. Varuns

Degrees as it is. 1 degree is 60 minutes. So 37 minutes would be 37/60 degrees. 60 seconds is 1 minute. so 11 seconds is 11/60 minutes. 11/60 minutes is (11/60)/60 seconds

6. babydoll332

ok so i would 1st take the 30 degree

7. babydoll332

set it to 60 which would be

8. babydoll332

1800

9. babydoll332

wait im a little confused

10. Varuns

Use a calculator to find 37/60. Add (11/60)/60 to this result

11. jim_thompson5910

60 minutes = 1 degree 1 minute = 1/60 degrees 37 minutes = 37/60 degrees -------------------------------------- 60 seconds = 1 minute 3600 seconds = 60 minutes ...multiply both sides by 60 3600 seconds = 1 degree 1 second = 1/3600 degrees 11 seconds = 11/3600 degrees -------------------------------------- 30°37'11" = 30 degrees, 37 minutes, 11 seconds 30°37'11" = 30 degrees + 37 minutes + 11 seconds 30°37'11" = 30 degrees + 37/60 degrees + 11/3600 degrees 30°37'11" = (30 + 37/60 + 11/3600) degrees 30°37'11" = (30 + 0.61666666666667 + 0.00305555555556 ) degrees 30°37'11" = ( 30.6197222222222) degrees 30°37'11" = 30.62 degrees

12. babydoll332

i got it im sorry i was confused i watched the video thanks :)

13. babydoll332

i didnt understand the degrees then the min now i got :)))

14. jim_thompson5910