To find the length of side $x$ in this right triangle, we can use trigonometric ratios based on the given angles. Since we know one of the legs of the triangle (3) and the angle opposite to side $x$ (30°), we can use the sine or cosine of the angles.

Here's the solution process:

1. Identify the trigonometric relationship: Since $x$ is the hypotenuse, we can use the cosine of 30° or the sine of 60°.

2. Using cosine: $\cos(30^\circ) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{3}{x}$

3. Solve for $x$: $x = \frac{3}{\cos(30^\circ)}$

4. Calculate: $\cos(30^\circ) = \frac{\sqrt{3}}{2} \approx 0.866$ $x = \frac{3}{0.866} \approx 3.5$

So, the length of side $x$ is approximately 3.5, rounded to the nearest tenth.

Would you like further explanation or have any questions?

Here are some related questions for further understanding:

1. How do you find the length of a side when given an angle and one side in a right triangle?
2. What is the relationship between sine and cosine in complementary angles?
3. How would you use the sine function to solve for the hypotenuse in this triangle?
4. Why is it beneficial to know multiple trigonometric approaches to solving for a side?
5. What are the values of sine and cosine for 30° and 60°?

Tip: When working with trigonometric functions, it's helpful to remember key angle values, such as 30°, 45°, and 60°, as these often come up in right triangles.