Final answer:
The height of the tree is approximately 10.75 meters.
Step-by-step explanation:
To find the height of the tree, we can set up a proportion using the lengths of the shadows. Let x represent the height of the tree. The proportion can be written as (1.02 meters / 1.67 meters) = (6.59 meters / x). Cross multiplying and solving for x gives us x = (6.59 meters * 1.67 meters) / 1.02 meters, which is approximately 10.75 meters.