Question

Can someone please answer. There is one problem. There's a picture! Thank you!

Answer 1

A cotangent (cot) is the adjacent side (not the hypotenuse or side not containing the right angle) over the opposite side, so $cot(G) = \frac{j}{g}$ or the third answer.

Answer 2

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.

$\cot(G)= \frac{adj}{opp} = \frac{j}{g}$