Analyze the diagram below and complete the instructions that follow.

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.