Final answer:
Option C) tanx = 18/62 is the correct trigonometric formula to use when solving for x in the equation tan(x) = 18/62.
Step-by-step explanation:
The student is provided with the trigonometric ratio tan(x) = 18/62 and asked to identify the correct trigonometry formula to solve for x. The given ratio directly matches option C) tanx = 18/62, which means that this is the correct trigonometry formula to use in this scenario. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side in a right-angled triangle. Therefore, to solve for x, one would take the inverse tangent (or arctan) of the ratio 18/62.