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A tree casts a 9 ft shadow at the same time that a person 6 ft tall casts a 4 ft shadow. what is the height of the tree?

User Slayter
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2 Answers

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the height of the tree is 13.5 feet tall.
User Samuel Kirschner
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1 vote

Answer: 13.5 ft.

Explanation:

Let x be the height of tree.

Given: A tree casts a 9 ft shadow at the same time that a person 6 ft tall casts a 4 ft shadow.

Since both the tree and the man are standing vertical to the ground at the same time so the sun rays will make the same angle , therefore, the triangles made by both tree and man are similar.

And in the similar triangles, the sides are proportional.

Therefore,


(x)/(9)=(6)/(4)\\\Rightarrow\ x=(6*9)/(4)\\\Rightarrow\ x=13.5

hence, the height of the tree is 13.5 ft.

User Testpattern
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