Question

the giant wheel at cedar point in ohio is one of the tallest ferris wheels in the country at 150 feet tall. if the giant wheel casts a 30 foot shadow, how tall is the concession stand nearby that casts a 3 foot shadow. round your answer to the nearest hundredths. feet

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the concession stand. Using the proportion \(\frac{\text{height of object}}{\text{length of shadow}}\), we have \(\frac{150}{30}=\frac{h}{3}\).

Step2: Solve for \( h \)

Cross - multiply: \(30h = 150\times3\). Then \(30h=450\). Divide both sides by 30: \(h=\frac{450}{30}\).

Answer:

\(15.00\) feet