Question

jen wants to know the height of a stone tower. she measures the shadow of the stone tower and finds that it is 32 meters long. jen also knows that a nearby monument that is 45 meters tall is casting a shadow 24 meters long. how tall is the stone tower? write your answer as a whole number or a decimal. do not round. meters submit

Explanation:

Step1: Set up the proportion

Since the ratio of height to shadow length is the same for both the monument and the tower, we can set up the proportion $\frac{\text{height of monument}}{\text{shadow length of monument}}=\frac{\text{height of tower}}{\text{shadow length of tower}}$. Let $h$ be the height of the tower. So, $\frac{45}{24}=\frac{h}{32}$.

Step2: Solve for $h$

Cross - multiply: $24h = 45\times32$. Then $h=\frac{45\times32}{24}$. Simplify: $h = 60$.

Answer:

60