The answer is the third option, [tex] \frac{j}{g} .[/tex]
Start by knowing that the cotangent function is the reciprocal of the tangent function. Because tangent is [tex] \frac{opp}{adj} [/tex], cotangent is [tex] \frac{adj}{opp} .[/tex]
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.
[tex]\cot(G)= \frac{adj}{opp} = \frac{j}{g} [/tex]
