Final answer:
The dating method that would be used to date an unearthed woven basket is Carbon-14 dating.
Step-by-step explanation:
The dating method that would be used to date an unearthed woven basket is A) Carbon-14 dating. Carbon-14 dating is a commonly used method for dating organic materials. It relies on the radioactive decay of carbon-14 in the remains of once-living organisms, such as plants used in weaving baskets. By measuring the amount of carbon-14 remaining in the sample, archaeologists can determine the approximate age of the basket.