Question

a shadow 4 feet long is cast by a wooden post that is 3 feet tall. if a nearby climbing structure is 6 feet tall, then how long will the climbing structures shadow be? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up the proportion

Let \(x\) be the length of the climbing structure's shadow. Since the height and shadow length are proportional, we have \(\frac{3}{4}=\frac{6}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(3x = 4\times6\).

Step3: Solve for \(x\)

\(3x=24\), then \(x=\frac{24}{3}\).

Answer:

\(8\)