Use similar triangles to solve.A person who is 5 feet tall is standing 132 feet from the base of a tree, and the tree casts a 144 foot shadow. The persons shadow is 12 feet in length. What is the night of the tree?
Let's set up a proportion using the similar triangles formed by the person, the tree, and their shadows.
Let's call the height of the tree "h".
From the given information, we can set up the following proportion:
(Height of the person) / (Length of the person's shadow) = (Height of the tree) / (Length of the tree's shadow)
5 feet / 12 feet = h / 144 feet
Now, let's solve the proportion:
Cross-multiplying, we get:
12 feet * h = 5 feet * 144 feet
Simplifying:
12h = 720 feet
Dividing both sides by 12:
h = 60 feet
Therefore, the height of the tree is 60 feet.