To find angle $y$, we use trigonometry since the triangle is a right triangle. Specifically, we can use the tangent function:

$\tan(y) = \frac{\text{opposite}}{\text{adjacent}} = \frac{25.62}{42.45}$

1. Calculate $\tan(y)$: $\tan(y) = \frac{25.62}{42.45} \approx 0.6035$

2. Find $y$ using the inverse tangent: $y = \arctan(0.6035)$

3. Using a calculator: $y \approx 31.08^\circ$

Thus, angle $y$ is approximately $31.08^\circ$. Let me know if you'd like detailed steps or help with related questions!

Expanding Questions:

1. What is the sine of angle $y$ in this triangle?
2. What would the hypotenuse length be using the Pythagorean theorem?
3. How does rounding affect the result when working with trigonometric values?
4. Can we find the other acute angle in this triangle? If so, how?
5. How is the tangent function relevant in real-world applications?

Tip: Always double-check if your calculator is in degree mode for trigonometric problems like these!