1. The problem asks to find 5.6% of 146 meters. 2. To find a percentage of a number, use the formula: $$\text{Percentage value} = \frac{\text{Percentage}}{100} \times \text{Total value}$$ 3. Here, the percentage is 5.6 and the total value is 146 meters. 4. Substitute the values into the formula: $$\frac{5.6}{100} \times 146$$ 5. Calculate the fraction: $$0.056 \times 146$$ 6. Multiply: $$0.056 \times 146 = 8.176$$ 7. Therefore, 5.6% of 146 meters is 8.176 meters. Final answer: **8.176 meters**