Answer:
cos(m∠B) = 2√5/5
Step-by-step explanation:
Easiest way is to guess and check on this problem. When you take the cos(m∠B), you would get 6/3√5, rationalized to 2√5/5. That would be the correct answer.
Option 1
Cos B = [tex]\frac{adjacent}{hypotenuse}[/tex]
Where adjacent = 6, Hypotenuse = 3√5
Cos B = [tex]\frac{6}{3\sqrt{5} }[/tex]
Cos B = [tex]\frac{2}{\sqrt{5} }[/tex]
Cos B = [tex]\frac{2\sqrt{5} }{5}[/tex]
