The answer is the third option, \(\frac{j}{g} .\)
Start by knowing that the cotangent function is the reciprocal of the tangent function. Because tangent is \(\frac{opp}{adj}\), cotangent is \(\frac{adj}{opp} .\)
For angle G, find the adjacent and opposite sides of the given triangle. These are j and g, respectively. Simply put those into the contangent function, and you have your answer.
\(\cot(G)= \frac{adj}{opp} = \frac{j}{g}\)
