The tree died about 3357 years ago.
Explanation:
The half life of carbon - 14 is given by
where
Substituting these values in the above equation, we get,
Taking In on both sides of the equation, we get,
Since, only 66% of Carbon - 14 remains after the time T.
Thus, we have,
Taking In on both sides of the equation, we get,
Thus, the tree died about 3357 years ago.