Question

Find cos<FHE. a.3/4 b.4/5 d. 4/3​

Answer 1

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

$HF^{2} =\sqrt{8}^{2} +\sqrt{8}^{2} \\ \\HF^{2} =16\\ \\HF=4\ units$

step 2

In the right triangle FEH

Find HE

Applying the Pythagoras Theorem

$HE^{2} =4^{2} +3^{2} \\ \\HE^{2} =25\\ \\HE=5\ units$

step 3

Find the cos(∠FHE)

cos(∠FHE)=HF/HE

substitute the values

cos(∠FHE)=4/5