Question

trudy found that a clock tower that is 30 meters tall casts a shadow 16 meters long. then trudy noticed a nearby radio tower that is 60 meters tall. how long is the radio towers shadow? write your answer as a whole number or a decimal. do not round. meters submit

Explanation:

Step1: Set up proportion

Let \( x \) be the length of the radio tower's shadow. The ratio of height to shadow length should be equal for both towers. So, \(\frac{30}{16}=\frac{60}{x}\).

Step2: Cross - multiply and solve

Cross - multiplying gives \( 30x = 60\times16 \). Then \( 30x=960 \). Dividing both sides by 30, we get \( x=\frac{960}{30}=32 \).

Answer:

32