how do I find the correct answer? ( the top says "Triangles ABC and DEF are right triangles, as shown, ABC is similar DEF.)

The cosine relation is defined by the length of the adjacent side over the length of the hypotenuse.
So, for triangle ABC, the cosine of B is defined as:
[tex]\cos (B)=\frac{BC}{AB}[/tex]And for triangle DEF, since the triangles are similar, the cosine of B is equal the cosine of its corresponding angle E:
[tex]\cos (E)=\frac{EF}{DE}[/tex]So the correct options are the first and fifth ones.