Let's call the height of the tree "h".
We can set up a proportion using similar triangles formed by the person, the person's shadow, the tree, and the tree's shadow:
(person's height) / (person's shadow length) = (tree's height) / (tree's shadow length)
Plugging in the values we know:
6 / 12 = h / 144
Simplifying:
1/2 = h / 144
Multiplying both sides by 144:
h = 72
Therefore, the height of the tree is 72 feet.
A person who is 6
feet tall is standing 132
feet from the base of a tree, and the tree casts a 144
foot shadow. The person's shadow is 12
feet in length. What is the height of the tree?
1 answer