1. **State the problem:** We need to find the height of a vertical cliff given the angle of elevation to the top is 25 degrees from a point 235 meters away from the base.
2. **Formula used:** The height $h$ of the cliff can be found using the tangent of the angle of elevation:
$$\tan(\theta) = \frac{\text{height}}{\text{distance}}$$
where $\theta = 25^\circ$ and distance = 235 m.
3. **Apply the formula:**
$$\tan(25^\circ) = \frac{h}{235}$$
4. **Solve for $h$:**
$$h = 235 \times \tan(25^\circ)$$
5. **Calculate the value:**
Using a calculator,
$$\tan(25^\circ) \approx 0.4663$$
6. **Final height:**
$$h = 235 \times 0.4663 = 109.56$$
So, the height of the cliff is approximately 109.56 meters.
Cliff Height 25193A
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