apter 3 Four true height is 68.0 inches ( \( 5^{\prime} 88^{\prime \prime} \) ), but a nurse in your doctor's office measures your height as 68.7 inches. The absolute error is 2 of 2 The relative error is \( \square \% \). (Simplify your answer. Round to the nearest tenth as needed.) (Simplify your answer. Round to the nearest tenth as needed.)

To find the relative error, we first need to calculate the absolute error and then use it to find the relative error. 1. **Calculate the Absolute Error:** The absolute error is the difference between the measured value and the true value. \[ \text{Absolute Error} = \text{Measured Value} - \text{True Value} \] Here, the measured value is 68.7 inches and the true value is 68.0 inches. \[ \text{Absolute Error} = 68.7 - 68.0 = 0.7 \text{ inches} \] 2. **Calculate the Relative Error:** The relative error is calculated using the formula: \[ \text{Relative Error} = \frac{\text{Absolute Error}}{\text{True Value}} \times 100\% \] Substituting the values we have: \[ \text{Relative Error} = \frac{0.7}{68.0} \times 100\% \] Now, let's calculate the relative error. \[ \text{Relative Error} = \frac{0.7}{68.0} \times 100 \] Calculating this gives: \[ \text{Relative Error} \approx 1.0294\% \] Rounding to the nearest tenth: \[ \text{Relative Error} \approx 1.0\% \] Thus, the relative error is approximately \( 1.0\% \).