00:01
In this problem, we have a right triangle, and one of the angles in that right triangle is 25 degrees.
00:08
We also know that one of the legs is 5 inches, but we don't know which of the legs, so we're going to have to do this twice.
00:16
So i'm going to say this top one is 5 inches, and another triangle.
00:22
We'll pretend that it's the same.
00:25
This one is 5 inches down here.
00:27
And we want to find the length of the hypotenuse in both of them.
00:34
So i'm going to call this one a and this one b.
00:40
So our hypotenuse is in two different triangles.
00:43
So why it matters which side it's on is which side is opposite of the angles.
00:49
For five inches is opposite of the angle, then we can use the sign to find what a is with our hypotenuses.
00:58
We can say the sign of 25 degrees is equal to our opposite side 5 over our hypotenuse, which is a.
01:07
We can then solve for a by multiplying both sides by a, and i get a sine of 25 degrees equals 5.
01:17
I will then divide both sides by the sign of 25 degrees and by the sign of 25 degrees...