Question

a antenna is 32 meters tall and its shadow is 60 meters long. nearby, an observation tower casts a shadow that is 30 meters long. how tall is the observation 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 observation tower. The ratio of height to shadow length should be equal for both objects. So, \(\frac{32}{60}=\frac{h}{30}\).

Step2: Solve for \( h \)

Cross - multiply: \( 60h = 32\times30 \). Then, \( h=\frac{32\times30}{60} \). Simplify the right - hand side: \( 32\times30 = 960 \), and \( \frac{960}{60}=16 \).

Answer:

16