on a sunny day a tree casts a shadow that is 146 feet long. at the same time a person who is 5.6 feet tall standing beside the tree casts a shadow that is 11.2 feet long. how tall is the tree?
Let X = tree height.
X/146 = 5.6/11.2
Solve for X.
I hope this helps. Thanks for asking.
thanks
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To find the height of the tree, we can set up a proportion between the height of the person and the height of the tree, and their respective shadows:
Let's use x to represent the height of the tree.
Person's height / Person's shadow = Tree's height / Tree's shadow
Using the values given:
5.6 feet / 11.2 feet = x / 146 feet
To solve for x, we can cross multiply:
5.6 feet * 146 feet = 11.2 feet * x
818.4 feet = 11.2 feet * x
Now, divide both sides of the equation by 11.2 feet:
818.4 feet / 11.2 feet = x
x ≈ 73.2 feet
Therefore, the height of the tree is approximately 73.2 feet.