A tree casts a shadow that is 20 feet long. A 5-foot-tall boy stands in the shadow so that the end of his shadow lines up with that of the tree. His shadow is 6 feet long. How tall is the tree

Cross multiply and solve for x.

x/20 = 5/6

The answer is not 20 feet, it is 50/3 or 16.7

To determine the height of the tree, we need to use similar triangles. Let's set up a proportion:

Height of the tree / Length of the tree's shadow = Height of the boy / Length of the boy's shadow

Let's substitute the given values into the proportion:

Height of the tree / 20 feet = 5 feet / 6 feet

To solve for the height of the tree, we can cross-multiply and then divide:

Height of the tree = (5 feet / 6 feet) * 20 feet
Height of the tree = (5/6) * 20 feet
Height of the tree = 100/6 feet

Simplifying the fraction:

Height of the tree ≈ 16.67 feet

Therefore, the approximate height of the tree is 16.67 feet.

the answer is 20 feet