1. The problem is to evaluate the expression for distance given as $\frac{1}{\sqrt{0.1}}$ and verify the approximation. 2. Start by calculating the square root of 0.1: $$\sqrt{0.1} = \sqrt{\frac{1}{10}} = \frac{1}{\sqrt{10}}$$ 3. Substitute this back into the expression: $$\frac{1}{\sqrt{0.1}} = \frac{1}{\frac{1}{\sqrt{10}}} = \sqrt{10}$$ 4. Approximate $\sqrt{10}$: $$\sqrt{10} \approx 3.162$$ 5. The given approximation $\approx 2$ is incorrect; the correct approximate value is about 3.162. Final answer: $$\frac{1}{\sqrt{0.1}} \approx 3.162$$