00:01
The first thing we should find is the measure of angle c because there's 180 degrees in a triangle.
00:06
Just subtract the known angles 45 .1 and 75 .8 from that and gives us 59 .1 degrees for angle c.
00:20
Now, the law of sign says we can take the sign of an angle over its opposite side, and it's equal to the sign of any other angle over its opposite side.
00:31
So we want to find side a, it's sign of 45 .1 degrees, because that's angle a, over its opposite side, side a.
00:40
Cross multiply, and you get a sign 59 .1 equals 10 .2 times the sign of 45 .1, then divide both sides by the sign of 59 .1.
00:54
That will give you a.
01:02
Now, to the nearest 10th, we're going to go to a calculator.
01:04
Make sure your calculator is in degree mode...