HOW DO YOU DO DMS????
i forgot how to convert DMS to just degrees please help?
how do you convert 21 degrees 40' 20" to just degrees (with a fraction etc.) ??
i know how to do say 21 2/3 degrees to DMS but not the other way around. show your steps! thanks!
Comments
A minute has 60 seconds.
A degree has 60 minutes, or 3600 seconds
So, convert the minutes to seconds = 2400
add on the seconds = 2420
and divide by 3600 = 2420/3600 = 242/360 (which is very close to 2/3 or 0.67 degrees.
There are 60 minutes in a degree and 60 seconds in a minute.
That means there are (60 x 60 =)3600 seconds in a degree.
21 + 40/60 + 20 / 3600
SImplify.
= 21 + 2/3 + 1 / 180
Convert both 2/3 as fractions with 180 as the denominator
= 21 + 120/180 + 1/180
= 21 and 121/180
It would be exactly 21 and 121/180 ° or approx 21.6722222...°
21 + 40/60 + 20/60^2 = 21.6722222 degrees
DMS to DD:
21 + 40/60 + 20/3600 = 21.67222222
Easiest way is to use your calculator. They almost all have a button which converts decimal to hexadecimal (deg/min/sec or DMS) representation.
The button is usually marked ( ° ' " ): it toggles the number in the display answer register from decimal to hexadecimal and back. To enter a number in hexadecimal, enter the number of degrees, minutes and seconds separately, pressing the hexadecimal button after each. If any of those values is zero, you must include a zero, or you'll get an error.
And you can do normal calculations on values in DMS in the working register
eg 32° 25' 51" x 3.15 = 102° 9' 25.65"
HTH
21 degrees 40' 20"
20" = (20/60)' = 0.333'
40.333' = 40.333/60 degrees = 0.67 degrees
Answer 21.67 degrees