From the given right-angled triangle, we have the following:
Hypothenuse side = 13
Opposite side = 12
Adjacent side = 5
Solution
The trigonometric ratio of cos B can be found using the relationship:
[tex]\cos \text{ B = }\frac{Adjacent}{Hypothenus}[/tex]By substituting, we have:
[tex]cos\text{ B = }\frac{5}{13}[/tex]Hence, the answer is 5/13 (option C)