Respuesta :

Answer:

4/5

Step-by-step explanation:

The cosine of the angle is found as the ratio of adjacent to the hypotenuse.

To find it first find the sin 45 = √8/ x. This is equal to 4.

sin 45 = √8/ x

x = √8/ sin 45

x = 4

This means the triangle FHE has side lengths 3, 4,  and 5.

The cosine of FHE will be FH / HE. This is 4/5.