The question in the image is asking to find the missing side length (denoted as $x$) in a right triangle. The triangle has one angle of $24^\circ$ and the hypotenuse length of 17 units.

To solve for the missing side $x$, we can use trigonometric functions. Since the angle is $24^\circ$, we can use the sine, cosine, or tangent functions, depending on the relationship of the sides. From the image, it appears that the missing side $x$ is opposite the angle $24^\circ$, so we can use the sine function:

$\sin(24^\circ) = \frac{x}{17}$

Rearranging this equation to solve for $x$:

$x = 17 \times \sin(24^\circ)$

Now, calculating this expression:

$x = 17 \times \sin(24^\circ) \approx 17 \times 0.4067 \approx 6.9$

Thus, the missing side length $x$ is approximately 6.9 units.

Would you like any further clarification or details? Here are some related questions:

1. What are the definitions and differences between the sine, cosine, and tangent functions?
2. How can you use the Pythagorean theorem to find a side in a right triangle?
3. What are the common mistakes when solving for sides in right triangles?
4. How do you calculate the missing angle in a right triangle using trigonometry?
5. What is the relationship between the angle of a right triangle and the opposite, adjacent, and hypotenuse sides?

Tip: Always double-check whether you're using the correct trigonometric ratio based on the sides and angles given in the problem!