Looking at the image you provided, we have a right triangle with an angle of $62^\circ$, the side adjacent to this angle is labeled $43$, and the opposite side is labeled $x$.

To solve for $x$, we can use trigonometric functions. The correct trigonometric function to use here depends on the relationship between the angle, the opposite side, and the adjacent side.

Here's how each option works:

• sin 62° = opposite/hypotenuse: This does not fit because the hypotenuse is not given.
• cos 62° = adjacent/hypotenuse: This does not fit either because the hypotenuse is not given.
• tan 62° = opposite/adjacent: This is the correct option because $\tan$ relates the opposite side ($x$) to the adjacent side ($43$).

So, the correct setup for the trig problem is:

tan 62° = x / 43

Thus, the answer is:
tan 62° 43/x.

Would you like more details or have any questions about this?
Here are five related questions to deepen your understanding:

1. How would you solve for $x$ after setting up the trig equation?
2. What is the definition of the tangent function?
3. How can you check the solution for correctness?
4. What is the difference between sine, cosine, and tangent in right triangles?
5. How do you apply trigonometry in real-world problems?

Tip: When solving for a missing side in a right triangle, always remember to match the correct trigonometric ratio to the sides given in the problem!