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?
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.
To find the height of the tree, we can set up a proportion between the height of the tree and the length of its shadow, and the height of the person and the length of their shadow.
Let's assume the height of the tree is "h" feet.
The proportion can be written as:
(tree height)/(tree shadow length) = (person height)/(person shadow length)
Since the height of the person is 4 feet, and their shadow length is 2 feet, we can substitute these values into the proportion:
h/6 = 4/2
We can simplify the proportion by cross-multiplying:
2h = 4 * 6
2h = 24
Dividing both sides of the equation by 2 to solve for h:
h = 24 / 2
h = 12
Therefore, the height of the tree is 12 feet.