00:01
So we have a word problem, essentially, that forms a triangle, and we know all the side lengths of the triangle.
00:05
We want to find the angles.
00:07
So we can use a law of cosines, which says that cosine, let's say, angle a is equal to b squared plus c squared minus a squared, divided by two times a, two times b times c, which becomes angle a is equal to inverse cosine of b squared, or 950 squared, plus.
00:31
Plus 700 or plus 795 squared minus 440 squared divided by 2 times 950 times 7995 and our answer our answer is equal to we plug this into our calculator we get 27 .4 degrees for this angle and then for the other two angles we can use a law of signs which says sign of 27 .7 .7 .7 .5 degrees for this angle and then for the other two angles we can use a law of 27.
01:10
And then the numerator would be the side length of a, which is 440.
01:15
Let's find angle c...