Question

a clock tower that is 60 feet tall casts a shadow 32 feet long. if a nearby wooden column casts a shadow 8 feet long, what is the wooden columns height? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the wooden column. Since the ratio of height to shadow length is the same for both objects, we have \(\frac{60}{32}=\frac{h}{8}\).

Step2: Solve for \( h \)

Cross - multiply: \(32h = 60\times8\). Then \(32h=480\). Divide both sides by 32: \(h=\frac{480}{32}\).

Answer:

\(15\)