Problem
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? \( 8 \frac{1}{4} \mathrm{ft} \) \( 8 \mathrm{ft} \) \( 9 \frac{1}{4} \mathrm{ft} \) \( 9 \mathrm{ft} \)
Solution
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: \(x=\frac{50}{6\frac{1}{4}}=8\)
