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

Question

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

anonymous · Answer

step by step please <3

anonymous · Answer

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

anonymous · Answer

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.

anonymous · Answer

It seems as if @ccappiello beat me the explanation.

anonymous · Answer

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

anonymous · Answer

ok so i would 1st take the 30 degree

anonymous · Answer

set it to 60 which would be

anonymous · Answer

1800

anonymous · Answer

wait im a little confused

anonymous · Answer

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

jim_thompson5910 · Answer

60 minutes = 1 degree

1 minute = 1/60 degrees

37 minutes = 37/60 degrees

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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

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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

anonymous · Answer

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

anonymous · Answer

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

jim_thompson5910 · Answer

glad it's making sense now

phi · Answer

notice that this is almost like minutes and seconds used in time (probably not a coincidence, because the Babylonians did it this way thousands of years ago..)

you must know that 30 minutes is 1/2 an hour.   30 minutes (of angle) are 1/2 a degree
15 minutes (of time) is a quarter hour  (1/4 of an hour)   and 15 minutes (of angle) is 1/4 of a degree (or 0.25 degrees using decimals)