1. **State the problem:** We need to find the height $n$ of a flag pole. The pole, the ground, and the wire form a right triangle. The angle between the wire and the ground is $72^\circ$, and the horizontal distance (adjacent side) is 2.8 m. 2. **Identify the sides and angle:** The angle given is between the wire (hypotenuse) and the ground (adjacent side). The height $n$ is the side opposite the angle. 3. **Use the tangent function:** In a right triangle, $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$. 4. **Set up the equation:** $$\tan(72^\circ) = \frac{n}{2.8}$$ 5. **Solve for $n$:** $$n = 2.8 \times \tan(72^\circ)$$ 6. **Calculate the value:** Using a calculator, $$\tan(72^\circ) \approx 3.0777$$ So, $$n = 2.8 \times 3.0777 = 8.6176$$ 7. **Round to 1 decimal place:** $$n \approx 8.6$$ meters. **Final answer:** The height of the flag pole is approximately 8.6 m.