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.
Raked Stage Angle B978Ca
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.