Question

How high is a tree that casts a 28​-ft shadow at the same time that a 6​-ft fence post casts a 8​-ft ​shadow?

Answer 1

Answer: 21 feet.

Step-by-step explanation:

1. You know that the tree casts a 28​ feet shadow and that a 6​ feet fence post casts a 8​ feet ​shadow, then, you can write the following proportion to solve this problem:

$\frac{x}{28}=\frac{6}{8}$

2. When you solve for the height ot tree (x), you obtain the following result:

$x=\frac{28*6}{8}\\x=21$

3. Therefore, the height of the tree is 21 feet.