We have the equation:

$\sin(43^\circ) = \frac{x}{9}$

Step 1: Solve for $x$

Multiply both sides by 9:

$x = 9 \times \sin(43^\circ)$

Using a calculator:

$\sin(43^\circ) \approx 0.6820$

$x = 9 \times 0.6820$

$x \approx 6.14$

Final Answer:

$x \approx 6.14$

Would you like a step-by-step breakdown?

Related Questions:

1. How do you find the sine of an angle without a calculator?
2. What is the unit circle definition of sine?
3. How does sine relate to right triangles?
4. What are other trigonometric functions similar to sine?
5. How does the sine function behave for angles greater than 90 degrees?

Tip:

For quick calculations, remember that $\sin 30^\circ = 0.5$ and $\sin 45^\circ = 0.707$ as useful reference values!