Question

a monument casts a 36 - foot shadow, while a 5 - foot person casts a 4 - foot shadow. what is the height of the monument?

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the monument. Since the ratios of height to shadow length are equal, we have \(\frac{h}{36}=\frac{5}{4}\).

Step2: Solve for \( h \)

Cross - multiply: \( 4h = 5\times36\). Then \( 4h=180\). Divide both sides by 4: \( h=\frac{180}{4}\).

Answer:

\( 45\)