Question

a bell tower that is 30 yards tall casts a shadow 16 yards long. if a nearby monument casts a shadow 32 yards long, what is the monuments height? write your answer as a whole number or a decimal. do not round. yards

Explanation:

Step1: Set up proportion

Since the height and shadow length are proportional, we have $\frac{\text{Bell - tower height}}{\text{Bell - tower shadow}}=\frac{\text{Monument height}}{\text{Monument shadow}}$. Let the monument's height be $x$. So $\frac{30}{16}=\frac{x}{32}$.

Step2: Solve for $x$

Cross - multiply: $16x = 30\times32$. Then $x=\frac{30\times32}{16}$. Simplify: $x = 30\times2$.

Answer:

$60$