00:01
What i'm thinking about in this problem is the fact that you have an angle on two sides.
00:06
So this angle is 47 .16 degrees.
00:11
I'm going to use capital a instead of alpha though.
00:14
And across from that would be side length a.
00:16
Now, i don't know exactly what this triangle looks like or if there even is a triangle or if there's two.
00:23
And i'm going to call this side length b is 6 .17.
00:27
So what i'm going to do actually is drawing a right triangle and use a right triangle.
00:33
The fact that's the right triangle, and this is the opposite side, and that 6 .17 is the hypotenuse.
00:40
So if i do sign of 47 .16, i can figure out what that opposite side is supposed to be, oops, wrong number, 6 .17, because then i can multiply that 6 .17 over.
01:00
So i'm using the calculator.
01:02
Make sure you're in degree mode.
01:05
So if you're not in degree mode, you'll get the wrong answer.
01:09
You get the same answer as me, i got an answer of 4 .524 for that opposite side.
01:22
And what matters is that that is smaller than 5 .04, which means i can get two triangles on this problem here and here.
01:32
So now i can use the law of signs and get one of the answers.
01:36
So i'm talking about that 6 .17 divided by, i'll just call it sign of b, but they call it beta, is equal to, what was that, 5 .04 divided by sign of 47 .16.
01:55
So doing a little cross -multifying and dividing, you get sign of beta would equal 6 .17 sign of 47 .16, which we already did, divided by 5 .0 .0 .5 .0 .5 .5 .5 .5.
02:09
So divide by 5 .04, you get .898.
02:17
And now i have to do the inverse sign of that.
02:23
And i can get an answer for beta to be 63 .852 degrees.
02:33
And remember the three angles inside of a triangle have to add up to be 180.
02:37
This one, this one, and this one...