Answer: The percent error in the worker's measurement is 1.38%
Explanation:
Actual length of the object = 14.4 cm
length measured by the worker = 14.6 cm
absolute error in measuring the object = 14.6 - 14. 4 = 0.2 cm
percentage error =
![\frac{\text {absolute error}}{\text {actual length}}* 100\%](https://img.qammunity.org/2020/formulas/chemistry/middle-school/tzzv0idx2a9det1vs98v21hf4s9tg9ff1l.png)
Putting in the values we get:
percentage error =
![(0.2)/(14.4)* 100\%=1.38\%](https://img.qammunity.org/2020/formulas/chemistry/middle-school/c44kczb31kz88bkyhm9po4gw3yd4eegv3c.png)
Thus the percent error in the worker's measurement is 1.38%