00:02
In problem number 27, we want to convert 183 degrees, 33 minutes, 36 seconds out of dms and into just plain degrees.
00:14
So theoretically, we already know a big portion of our answer, right? if we have 33 minutes and 36 seconds, then we know our answer is going to be 183 point something degrees.
00:29
We've got to figure out what that point something is.
00:32
And to do that, we're going to use these degree conversions on the right.
00:38
One minute is one -sixtieth of a degree.
00:42
So if we have 33 minutes, that's equivalent to 33 -60th of a degree.
00:51
And now one -second is 160th of a minute, which is in turn 160th of a degree.
00:59
And therefore one second is one 3 ,600th of a degree.
01:04
So if we have 36 seconds, that's equivalent to 36 -300ths of a degree.
01:12
Yes, i'm aware both these fractions can be reduced, but there's no reason to because we're going to put it all in the calculator as one computation, and that's going to give us our answer...