1. **State the problem:** We need to find the angle $\theta$ that the slide makes with the ground. The slide forms a right triangle where the height is 107 cm and the hypotenuse (slide length) is 250 cm.
2. **Formula used:** In a right triangle, the sine of the angle $\theta$ is the ratio of the opposite side (height) to the hypotenuse:
$$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{107}{250}$$
3. **Calculate sine value:**
$$\sin(\theta) = 0.428$$
4. **Find the angle $\theta$:** Use the inverse sine function:
$$\theta = \sin^{-1}(0.428)$$
5. **Evaluate the angle:**
$$\theta \approx 25.4^\circ$$
6. **Round to nearest degree:**
$$\theta \approx 25^\circ$$
**Answer:** The slide makes an angle of approximately $25^\circ$ with the ground.
Slide Angle 844137
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