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05-09-2018
Mathematics

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A tree casts a shadow 30 ft long. At the same time, the shadow cast by a vertical 8ft pole is 5 ft long. Find the height of the tree.

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Аноним Аноним

05-09-2018

Since this is a similar triangle problem, we will put the corresponding measurements with the other triangle. Then cross multiply.

[tex] \frac{x}{8}=\frac{30}{5}[/tex]

Solve.

[tex] 5x=240[/tex]

[tex] x=48[/tex]

The height of the tree is 48 feet.

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