Subjects geometry

Raked Stage Angle B978Ca

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1. **State the problem:** We have a stage that is 20 feet long (horizontal length) and rises 2 feet vertically. We want to find the angle of elevation (rake) and check if it is 5° or less. 2. **Formula:** The angle of elevation $\theta$ can be found using the tangent function: $$\tan(\theta) = \frac{\text{rise}}{\text{run}} = \frac{2}{20}$$ 3. **Calculate the angle:** $$\theta = \tan^{-1}\left(\frac{2}{20}\right) = \tan^{-1}(0.1)$$ 4. **Evaluate the inverse tangent:** Using a calculator or table, $$\theta \approx 5.71^\circ$$ 5. **Compare with desired angle:** The calculated angle $5.71^\circ$ is greater than the desired maximum of $5^\circ$. 6. **Conclusion:** The raked stage is **not** within the desired safety range of 5° or less. **Final answer:** No, the raked stage is not within your desired range.