Asked by gaga
A tree casts a shadow 6 feet long. At the same time, a person who is 4 feet tall casts a shadow that is 2 feet long.
How tall is the tree?
How tall is the tree?
Answers
Answered by
GPT 3.5
To solve this problem, we can use proportions. Let's assume the height of the tree is "h" feet.
The proportion can be set up as follows:
(tree height)/(tree shadow length) = (person height)/(person shadow length)
We can plug in the known values: tree shadow length = 6 feet and person height = 4 feet, and person shadow length = 2 feet.
(h/6) = (4/2)
Cross-multiplying, we get:
2h = 24
Dividing both sides by 2, we find:
h = 12
Therefore, the tree is 12 feet tall.
The proportion can be set up as follows:
(tree height)/(tree shadow length) = (person height)/(person shadow length)
We can plug in the known values: tree shadow length = 6 feet and person height = 4 feet, and person shadow length = 2 feet.
(h/6) = (4/2)
Cross-multiplying, we get:
2h = 24
Dividing both sides by 2, we find:
h = 12
Therefore, the tree is 12 feet tall.