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To find the height of a tree, a student measured the tree's shadow and her own shadow. If the student's height is 5'6, what is the height of the tree?

Answer :

According to the given information, we have the following

The height of the student is 5 feet and 6 inches, which is equivalent to 5.5 feet.

Then, we have to use the following proportion to find the answer

[tex]\frac{x}{5.5}=\frac{24}{3}[/tex]

Now, we solve for x

[tex]\begin{gathered} x=\frac{24}{3}\cdot5.5 \\ x=8\cdot5.5=44 \end{gathered}[/tex]

Hence, the height of the tree is 44 feet.

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