Hello!
As you can see, we are given the side length adjacent to our angle, along with the length of the hypotenuse. Using the cosine, we can get an equation that will help us to find x.
cos28≈0.88
As the cosine is the adjacent side divided by the hypotenuse, we get the equation below.
0.88=11/x
Let's solve our equation. First we multiply both sides by x.
0.88x=11
We divide both sides by 0.88
x=12.5
Therefore, our answer is
.
I hope this helps!