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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?

asked
User Kpogue
by
7.6k points

1 Answer

4 votes

Answer:

The tree is 3.15 meters tall

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


(0.9)/(2) =(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

answered
User Thaddeus Albers
by
7.7k points

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