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An old oak tree grows next to a maple tree. The oak tree is 74 feet tall and casts a 40-foot shadow on the ground. The maple tree is 46 feet tall. What is the length of the maple tree's shadow? Round the answer to the nearest foot

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carlosego

Answer: 25 feet.

Step-by-step explanation:

Based on the figure attached, you can set up the following proportion, when x is the length of the maple tree's shadow:

[tex]\frac{74}{40}=\frac{46}{x}[/tex]

Now, you must solve for x as following:

[tex]74x=46*40\\74x=1840\\x=\frac{1840}{74}\\x=24.86ft[/tex]

Rounding the result to the nearest foot, you obtain:

[tex]x[/tex]≈[tex]25ft[/tex]

Ver imagen carlosego

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