QUESTION 6
10 points
Use a proportion to solve the problem.
When a pole \( 6 \frac{1}{4} \mathrm{ft} \) high casts a shadow \( 1 \mathrm{ft} \) long, how long a shadow is cast by a tree \( 50 \mathrm{ft} \) tall?
\( 8 \frac{1}{4} \mathrm{ft} \)
\( 8 \mathrm{ft} \)
\( 9 \frac{1}{4} \mathrm{ft} \)
\( 9 \mathrm{ft} \)

Answer

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Answer

Solve for x: \(x=\frac{50}{6\frac{1}{4}}=8\)

Steps

Step 1 ：Let x be the length of the shadow cast by the tree.

Step 2 ：Set up the proportion: \(\frac{6\frac{1}{4}}{1}=\frac{50}{x}\)

Step 3 ：Solve for x: \(x=\frac{50}{6\frac{1}{4}}=8\)