Question

a monument is 32.5 meters tall and its shadow is 36 meters long. nearby, a bell tower casts a shadow that is 72 meters long. how tall is the bell tower? write your answer as a whole number or a decimal. do not round. meters

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the bell - tower. Since the ratio of height to shadow length is the same for both objects, we have \(\frac{32.5}{36}=\frac{h}{72}\).

Step2: Solve for \( h \)

Cross - multiply: \(36h = 32.5\times72\). Then \(h=\frac{32.5\times72}{36}\). Simplify \(\frac{72}{36}=2\), so \(h = 32.5\times2\).

Answer:

\(65\)