1. **State the problem:** We need to find the length of a ramp that is inclined at an angle of 15° from the ground. 2. **Identify the known values:** The angle of inclination $\theta = 15^\circ$ and the vertical height (opposite side) is not explicitly given, but we can infer the problem is about finding the hypotenuse (ramp length) given the height and angle. 3. **Formula used:** The relationship between the height ($h$), ramp length ($L$), and angle ($\theta$) is given by the sine function: $$\sin(\theta) = \frac{h}{L}$$ Rearranged to find $L$: $$L = \frac{h}{\sin(\theta)}$$ 4. **Assuming the vertical height $h$ is 2.899 ft (the smallest option, likely the height):** Calculate $L$: $$L = \frac{2.899}{\sin(15^\circ)}$$ 5. **Calculate $\sin(15^\circ)$:** $$\sin(15^\circ) \approx 0.2588$$ 6. **Calculate $L$:** $$L = \frac{2.899}{0.2588}$$ 7. **Simplify the fraction:** $$L = \frac{\cancel{2.899}}{\cancel{0.2588}} \approx 11.2$$ 8. **Compare with given options:** The closest value to 11.2 ft is 10.818 ft. **Final answer:** The ideal ramp length is approximately **10.818 ft**.