Question

two new flagpoles are installed at city hall. the flagpole to fly the utah state flag is 22 feet tall, and casts a shadow that is 18.1 feet long. how long would the shadow of the pole to fly the united states flag be, if the flagpole is 40 feet tall? round your answer to the nearest hundredths. feet

Explanation:

Step1: Set up the proportion

Since the height of the flagpole and the length of its shadow are in proportion, we have $\frac{22}{18.1}=\frac{40}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $22x = 18.1\times40$.
First, calculate $18.1\times40=724$. So the equation becomes $22x = 724$.

Step3: Solve for \(x\)

Divide both sides of the equation $22x = 724$ by 22. We get $x=\frac{724}{22}$.
Calculating $\frac{724}{22}\approx32.91$.

Answer:

$32.91$