Question

If the shadow of a tree is 7 m long and the shadow of a person who is 0.9 m tall is 2 m long, how tall is the tree?

Answer 1

Answer:

The tree is 3.15 meters tall

Step-by-step explanation:

If the shadow of a tree is 7 m long and the shadow of a person who is 0.9 m tall is 2 m long.

The ratio of height of a person to the shadow is 0.9 / 2

Let x be the height of the tree

We need to make a proportion

height of a person/ shadow = height of the tree / shadow

$\frac{0.9}{2} =\frac{x}{7}$

Cross multiply the numbers

7 * 0.9 = 2x

6.3 = 2x

Divide by 2 on both sides

x= 3.15

The tree is 3.15 meters tall

Answer 2

The tree is 3.15m tall.