Answer:
b.4/5
Step-by-step explanation:
step 1
In the right triangle FGH
Find HF
we know that
HG=GF ----> by triangle 45°-90°-45°
Applying the Pythagoras Theorem
[tex]HF^{2} =\sqrt{8}^{2} +\sqrt{8}^{2} \\ \\HF^{2} =16\\ \\HF=4\ units[/tex]
step 2
In the right triangle FEH
Find HE
Applying the Pythagoras Theorem
[tex]HE^{2} =4^{2} +3^{2} \\ \\HE^{2} =25\\ \\HE=5\ units[/tex]
step 3
Find the cos(∠FHE)
cos(∠FHE)=HF/HE
substitute the values
cos(∠FHE)=4/5
