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A tree casts a shadow 35 meters long. At the same time, the shadow cast by a vertical7 meter stick is 5 meters long. Find the height of the tree.

A tree casts a shadow 35 meters long. At the same time, the shadow cast by a vertical-example-1
User Dferraro
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1 Answer

6 votes
Answer:

The height of the tree is 49 meters

Step-by-step explanation:

Given that a tree casts a shadow 35 meters long. Let the height of the tree be x.

A 7 meter stick casts a shadow of 5 meters.

Because the ratio of object to their shadows are uniform, we have:


\begin{gathered} (x)/(35)=(7)/(5) \\ \\ x=(7)/(5)*35=49 \end{gathered}

The height of the tree is 49 meters

User Dodi
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