1. **State the problem:** We need to find the angle $y$ in a right triangle where the side opposite to $y$ is 19 and the adjacent side is 27.
2. **Formula used:** To find an angle in a right triangle when opposite and adjacent sides are known, use the tangent function:
$$\tan(y) = \frac{\text{opposite}}{\text{adjacent}}$$
3. **Apply the formula:**
$$\tan(y) = \frac{19}{27}$$
4. **Calculate the ratio:**
$$\tan(y) = 0.7037$$
5. **Find the angle $y$ by taking the arctangent:**
$$y = \tan^{-1}(0.7037)$$
6. **Evaluate using a calculator:**
$$y \approx 35.1^\circ$$
7. **Round to the nearest degree:**
$$y \approx 35^\circ$$
**Final answer:** $y = 35^\circ$
Find Angle Y F6230F
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