Atree 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?

13.5 ft.

Step-by-step 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,

hence, the height of the tree is 13.5 ft.

true

step-by-step explanation:

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step-by-step explanation: