00:01
This problem wants us to find the length x to the nearest whole number.
00:04
And to be able to figure out what the entire length of x is, we're going to break it into two smaller parts.
00:09
So let's say that this segment in our top triangle would be considered a length of a, and for our bottom triangle, this length would be considered b.
00:19
And if we can find whatever a plus b is, that should be equal to x.
00:24
And the way we can do this is to focus on these two triangles as two smaller right triangles.
00:30
Triangles.
00:30
And when we look at the angle we're given in comparison to the side that we want for 43 degrees, for instance, a, our unknown length would be opposite of our angle, and the side that is given to us for both of 502, that side they share in the middle, would be considered our adjacent.
00:49
So we can use tangent of 43 degrees equal to opposite a, which is the unknown, over the adjacent 502.
01:00
Which we are given.
01:01
And then to get an expression that represent a, we can just multiply 502 over.
01:06
So a is equal to whatever 502 times tangent of 43 degrees is...