To calculate angle $y$, we can use trigonometry. Since the diagonal forms a right triangle, the tangent function applies:

$\tan(y) = \frac{\text{opposite}}{\text{adjacent}} = \frac{28.3}{46.8}.$

Let’s compute:

$\tan(y) = \frac{28.3}{46.8} \approx 0.6047.$

Taking the arctangent:

$y = \arctan(0.6047) \approx 31.1^\circ.$

Thus, $y$ is approximately $31.1^\circ$ to 1 decimal place.

Would you like a step-by-step explanation or further insights?

1. What is the diagonal's length in this triangle?
2. How can sine or cosine be used for verifying angle $y$?
3. What other angles can be calculated in the rectangle?
4. How is the Pythagorean theorem linked to this problem?
5. How accurate are trigonometric results if rounded early?

Tip: Always use more decimal places in intermediate calculations to improve precision.