00:01
Okay, so given this triangle abc with this information, we can go ahead and use the law of signs to solve the triangle.
00:09
So we can say that the sign of 25 degrees over 48 has to be equal to the sign of angle a over 69.
00:25
We can cross multiply here.
00:27
So 69 sine of 25 degrees has to be equal to.
00:33
48 sign of a.
00:37
Now what i'm going to do is i'm going to divide both sides by the 48.
00:41
And so solving for sign of a has to equal 69 sine of 25 degrees divided by 48.
00:57
Well 69 times the sign of 25 degrees divided by 48.
01:01
Putting that into my calculator, making sure you are in degree mode, that comes to .6075.
01:14
So what we have is the sign of angle a is equal to .6075.
01:21
We use the inverse sign function.
01:24
So angle a is equal to inverse sign .6075.
01:34
And i'm going to put that into my calculator, making sure we are still in degree mode, inverse sign of .6075.
01:42
And angle a is approximately equal to 37 .40 .895.
01:57
Rounded to the nearest tenth, we'll go with angle a is approximately equal to 37 .4 degrees...