Question

Find cos<FHE.
a.3/4
b.4/5
d. 4/3​

Answer 1

b.4/5

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) =√(8)^(2) +√(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