a fence post a 4-foot shadow at the same time that a tree next to it cast a 64-foot shadow. how tall os the tree?
a)66
b)70
c)74
d)78
e)not enought information is given
This is a ratio problem.
I would choose
e)not enough information is given
because there is no height to compare with.
To find the height of the tree, you can use a proportion based on the shadow lengths. The proportion can be set up as follows:
Height of the fence post / Shadow length of the fence post = Height of the tree / Shadow length of the tree
Given shadow lengths:
Shadow length of the fence post = 4 feet
Shadow length of the tree = 64 feet
Let x be the height of the tree (in feet):
4 / x = 64 / height of the tree
Cross-multiplying, we get:
4 * height of the tree = 64 * x
Now, we can solve for x (the height of the tree):
4h = 64x
Divide both sides of the equation by 4:
h = 16x
Since we don't have specific height measurements, we can't solve for x exactly. However, we can determine the height of the tree relative to the height of the fence post.
Therefore, we have not been given enough information to determine the exact height of the tree. The correct answer is (e) - not enough information is given.