Question

a crane casts a shadow that is 24 meters long. a monument near the crane casts a shadow that is 32 meters long. if the crane is 45 meters tall, how tall is the monument?
write your answer as a whole number or a decimal. do not round..

meters

submit

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the monument. Since the ratios of height to shadow length are equal (similar triangles), we have \(\frac{45}{24}=\frac{h}{32}\).

Step2: Solve for \( h \)

Cross - multiply: \( 24h = 45\times32 \). Calculate \( 45\times32 = 1440 \). Then \( h=\frac{1440}{24}=60 \).

Answer:

60