Answer:
0.44
Step-by-step explanation:
This is a right angled triangle, so it yields:
[tex]\cos \angle V = \frac{adjacent}{hypotenuse}[/tex]
The value of adjacent is 39.
We will use the Pythagorean rule to obtain the length of hypotenuse:
[tex]hypotenuse^2 = 39^2 + 80^2\\hypotenuse^2 = 1521 + 6400\\hypotenuse^2 = 7921\\hypotenuse = \sqrt{7921}\\hypotenuse = 89[/tex]
Now we can insert that into [tex]\cos \angle V[/tex]:
[tex]\cos \angle V = \frac{39}{89} =0.44[/tex]