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A tree casts a 65-foot shadow, while a nearby tree that 7 feet tall casts a 5- foot shadow. How tall is the larger tree

Sagot :

For this problem we use similar triangles properties. Since the triangles are similar the sides of the triangles are proportional, meaning that

[tex]\begin{gathered} \frac{\text{x}}{7ft}=\frac{65ft}{5ft}=13 \\ \end{gathered}[/tex]

Solving for x we get:

[tex]x=13\cdot7ft=91\text{ ft}[/tex]

Answer: 91 ft.

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