Question

a pole that is 2.5 m tall casts a shadow that is 1.78 m long. at the same time, a nearby tower casts a shadow that is 43.5 m long. how tall is the tower? round your answer to the nearest meter. m

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the tower. Using the proportion \(\frac{\text{height of pole}}{\text{length of pole's shadow}}=\frac{\text{height of tower}}{\text{length of tower's shadow}}\), so \(\frac{2.5}{1.78}=\frac{h}{43.5}\).

Step2: Solve for \( h \)

Cross - multiply: \(1.78h = 2.5\times43.5\). Then \(h=\frac{2.5\times43.5}{1.78}\). Calculate \(2.5\times43.5 = 108.75\). So \(h=\frac{108.75}{1.78}\approx61.1\).

Answer:

\(61\)