Use similar triangles to solve. A person who is 6 feet tall is standing 168 feet from the base of a tree, and the tree casts a 182 foot shadow. The persons shadow is 14 feet in length. What is the height of the tree
Let's set up a proportion using similar triangles:
Let x be the height of the tree.
According to the given information, we have the following ratio:
(tree height) / (tree shadow) = (person height) / (person shadow)
Therefore, we get:
x / 182 = 6 / 14
To solve for x, we can cross-multiply and solve the resulting equation:
14x = 182 * 6
14x = 1092
x = 1092 / 14
x ≈ 78
The height of the tree is approximately 78 feet.