Question

a crane that is 24 meters tall casts a shadow 45 meters long. if a nearby radio tower is 32 meters tall, how long will the radio towers shadow be? write your answer as a whole number or a decimal. do not round. meters

Explanation:

Step1: Set up proportion

Let \(x\) be the length of the radio tower's shadow. Since the ratio of height to shadow length is the same, we have \(\frac{24}{45}=\frac{32}{x}\).

Step2: Cross - multiply

\(24x = 32\times45\).

Step3: Solve for \(x\)

\(x=\frac{32\times45}{24}\).
First, \(32\times45 = 1440\), then \(x=\frac{1440}{24}=60\).

Answer:

60