For this problem we have a right triangle WXV with the following info:
And we want to find: cot W
From definition we know that cotangent is the inverse of tangent and it's given by:
[tex]\text{cot W=}\frac{\text{cos W}}{\sin \text{ W}}[/tex]From the info given we can find cos W and sin W and we got:
[tex]\text{cos W=}\frac{12}{13},\text{ sin W=}\frac{5}{13}[/tex]And then we can find the cotangent like this:
[tex]\text{cot W=}\frac{12/13}{5/13}=\frac{12}{5}[/tex]And then the final answer for this case would be cot