Question

a shadow 16 feet long is cast by a jungle gym that is 12 feet tall. if a nearby no - parking sign is 9 feet tall, then how long will the no - parking signs shadow be? write your answer as a whole number or a decimal. do not round. feet

Explanation:

Step1: Set up proportion

Let \(x\) be the length of the no - parking sign's shadow. Since the ratio of height to shadow length is the same for both objects, we have the proportion \(\frac{12}{16}=\frac{9}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(12x = 16\times9\).

Step3: Solve for \(x\)

First, calculate \(16\times9=144\). Then, \(x=\frac{144}{12}\).

Answer:

\(12\)