00:01
So in this problem, our ultimate goal is to find the measure of angle b.
00:04
And there's a lot of different ways to do this.
00:06
So what i'm going to first do is i'm going to draw our right triangle going from our point b to point c.
00:12
So i'm going to go down and then over.
00:15
So this would form a right triangle.
00:18
Well, i can find the distance of a couple of these sides.
00:20
Well, if i go over one, two, three, four, five units from c over, that would be five.
00:26
And how far is it down? one, two, three, four, five units.
00:32
So we have an exosceles triangle here.
00:34
And because both of our sides are equal, we know that our base angles are going to be equal.
00:39
So what we can do is i can find this angle right here, which i'll call theta.
00:43
Well, compared to theta, i know the opposite side and the adjacent side.
00:48
So we can use our tangent function.
00:50
So we'll have the tangent of theta is equal to five divided by five.
00:54
Well, that means to find theta, it would be the inverse tangent of, well, 5 divided by 5 is equal to 1.
01:00
So we now know we can go to our calculator.
01:03
Well, the inverse tangent of 1 is equal to 45.
01:07
So now we know that theta is 45 degrees...