We can represent this triangle as follows:
We have six trigonometric ratios that can be applied to a right triangle like the one above.
We have that the ratio cotangent is given by:
[tex]\cot (\theta)=\frac{adj}{opp}[/tex]That is, the ratio cotangent is the adjacent side to the angle to the opposite side of the angle. In this case, the reference angle is [tex]\cot (\theta)=\frac{MO}{ON}\Rightarrow cot(\theta)=\frac{63}{16}[/tex]
Therefore, the ratio is cot(theta) = 63/16.