00:01
In this problem, we need to find the missing side of the triangle.
00:05
To do that, i'm going to first figure out a few of the other angles so i can set up the law of sign.
00:12
I know that there are 180 degrees in a triangle.
00:16
That means that this angle up here has to equal 34 degrees.
00:22
Now, if i'm looking at the big triangle, again, i know that there's 180 degrees in a triangle.
00:28
So these two must add up to 55.
00:33
So this angle is equal to 21.
00:37
Now what i'm going to do is i'm going to find this length of that right triangle's hypotenuse by setting up the law, by using sign to figure that out.
00:51
I know that the sign of an angle is equal to its opposite side, which is 115...