Question

There is a light post that is 9 feet tall that casts a shadow that is 6 feet long. At the same time, there is a tree that casts a shadow that is 14 feet long.
What is the height of the tree? (in feet)

Answer 1

Answer:

The height of the tree is 21 ft

Step-by-step explanation:

we know that

A light post that is 9 feet tall that casts a shadow that is 6 feet long

so

by proportion

Find out the the height of the tree if a tree that casts a shadow that is 14 feet long

Let

x ----> the height of the tree

$\frac{9}{6}=\frac{x}{14}\\\\x=9*14/6\\\\x=21\ ft$

therefore

The height of the tree is 21 ft