This is a trigonometry problem involving a right triangle. We are tasked with finding the missing side $x$, which is adjacent to the given angle $29^\circ$, with the opposite side $15$ provided. We'll use the tangent trigonometric ratio:

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}$

Step-by-Step Solution:

1. Identify the formula: $\tan(29^\circ) = \frac{15}{x}$

2. Solve for $x$: $x = \frac{15}{\tan(29^\circ)}$

3. Calculate $x$ using $\tan(29^\circ)$: $\tan(29^\circ) \approx 0.5543$

   Substituting: $x = \frac{15}{0.5543} \approx 27.1$

Final Answer:

The missing side $x \approx 27.1$ (rounded to the nearest tenth).

Would you like a detailed explanation of how the tangent function works or have any additional questions?

Related Questions:

1. How is the tangent ratio defined in terms of right triangles?
2. What is the significance of rounding in trigonometry problems?
3. How do other trigonometric functions (sine, cosine) relate to triangle sides?
4. How can you verify the solution using a calculator?
5. How is this method applied in real-world scenarios, such as construction?

Tip:

When solving trigonometric problems, make sure your calculator is in degree mode if the angle is provided in degrees.