QuestionOSHA safety regulations require that the base of a ladder be placed 1 ft from the wall for every 4 ft of ladder length. To the nearest tenth of a degree, find the angle that the ladder forms with the ground and the angle that it forms with the wall.

Studdy Solution
Use trigonometric functions to find the angle $\phi$ that the ladder forms with the wall: - Use the sine function, which relates the opposite side (base) to the hypotenuse:
$$\sin(\phi) = \frac{\text{Base}}{\text{Hypotenuse}} = \frac{\frac{L}{4}}{L} = \frac{1}{4}$$
- Solve for $\phi$:
$$\phi = \sin^{-1}\left(\frac{1}{4}\right)$$
- Calculate $\phi$ to the nearest tenth of a degree using a calculator:
$$\phi \approx 14.5^\circ$$
The angle that the ladder forms with the ground is approximately $\boxed{75.5^\circ}$ and with the wall is approximately $\boxed{14.5^\circ}$.