1. **State the problem:** We have a ramp that is 60 feet long and makes a 15° angle with the ground. We want to find the height of the second floor above the first floor, which corresponds to the vertical leg of the right triangle formed.
2. **Formula used:** In a right triangle, the height (opposite side) can be found using the sine function:
$$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$
where $\theta$ is the angle with the ground.
3. **Apply the formula:**
$$\sin(15^\circ) = \frac{\text{height}}{60}$$
4. **Solve for height:**
$$\text{height} = 60 \times \sin(15^\circ)$$
5. **Calculate sine value:**
$$\sin(15^\circ) \approx 0.2588$$
6. **Find height:**
$$\text{height} = 60 \times 0.2588 = 15.528$$
7. **Round to nearest tenth:**
$$15.5$$ feet
**Final answer:** The second floor is approximately 15.5 feet above the first floor.
Ramp Height E7Fd15
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