The image you uploaded represents a triangle with an unknown side length $x$, and you are asked to solve for $x$ given that the triangle has one known side length of 3.1, an angle of 25°, and the side opposite the angle of 25° is labeled as $x$.

To solve for $x$, we can use the Law of Sines. The Law of Sines states:

$\frac{x}{\sin(25^\circ)} = \frac{3.1}{\sin(90^\circ)}$

Since $\sin(90^\circ) = 1$, the equation simplifies to:

$\frac{x}{\sin(25^\circ)} = 3.1$

Now, solve for $x$:

$x = 3.1 \times \sin(25^\circ)$

Let me calculate that for you. math

Given values

angle = 25 # degrees side = 3.1 # length of the side

Calculating the value of x using the Law of Sines

x = side * math.sin(math.radians(angle)) xThe value of $x$ is approximately 1.3, rounded to the nearest tenth.

Would you like more details on this calculation, or do you have any further questions? Here are some related questions for you to consider:

1. How does the Law of Sines help in solving for unknown sides or angles in a triangle?
2. What would happen if we had more than one angle and side to work with in this triangle?
3. How do we solve for unknown sides in non-right triangles using the Law of Cosines?
4. How can the Pythagorean theorem be used in this problem if we had a right triangle?
5. Can we use the Law of Sines to solve for angles in a triangle?

Tip: When using trigonometric functions, make sure your calculator is set to the correct mode (degrees or radians), as it can affect your results.