Question

use similar triangles to solve. a person who is 5 feet tall is standing 140 ft from the base of a tree and the tree cast a 154 foot shadow. the person's Shadow is 14 ft in length what is the height of the tree

Answer 1

To find the height of the tree, you can create a proportion with the information that is given and solve for the height.

Heights: x 5 feet
Base Lengths: 154 feet 14 feet

14x = 770
14 14
x = 55 feet

The height of the tree is 55 feet.

Answer 2

For this case we have the following relationship using similarity of triangles:
(x / 154) = (5/14)
Clearing the value of x we have:
x = (5/14) * (154)
Rewriting we have:
x = 55 feet
Answer:
the height of the tree is:
x = 55 feet