Answer:
[tex]cos(B)=\frac{5}{13}[/tex]
Step-by-step explanation:
Firstly, we will consider angle B
we can see that this is right angled triangle
adjacent side to angle (B) is BC
so,
[tex]BC=5[/tex]
hypotenuse is AB
so,
[tex]AB=13[/tex]
now, we can use cosine formula
[tex]cos(B)=\frac{adj}{hyp}[/tex]
[tex]cos(B)=\frac{BC}{AB}[/tex]
now, we can plug values
[tex]cos(B)=\frac{5}{13}[/tex]
