1. **State the problem:** We need to find the height $x$ of the tree using the given distances and the height of the person. 2. **Identify the principle:** This is a problem involving similar triangles formed by the tree, the mirror, and the person. 3. **Set up the proportion:** The height of the tree $x$ and its distance to the mirror $2.5$ m correspond to the height of the person $1.9$ m and their distance to the mirror $1.5$ m. So, we use the ratio: $$\frac{x}{2.5} = \frac{1.9}{1.5}$$ 4. **Solve for $x$:** Multiply both sides by $2.5$: $$x = 2.5 \times \frac{1.9}{1.5}$$ 5. **Simplify the fraction:** $$x = 2.5 \times \frac{\cancel{1.9}}{\cancel{1.5}}$$ (Here, no common factors to cancel, so proceed to decimal calculation.) 6. **Calculate the value:** $$x = 2.5 \times 1.2667 = 3.1667$$ 7. **Final answer:** The height of the tree is approximately $$x \approx 3.17 \text{ meters}$$