Question

a monument casts a 36 - foot shadow. while a 5 - foot person casts a 4 - foot shadow. what is the height of the monument?

Explanation:

Step1: Set up proportion

Let the height of the monument be $h$. We set up the proportion $\frac{h}{36}=\frac{5}{4}$ based on the fact that the ratio of height to shadow - length is the same for both the person and the monument.

Step2: Solve for $h$

Cross - multiply to get $4h = 5\times36$. Then $4h=180$. Divide both sides by 4: $h=\frac{180}{4}=45$.

Answer:

45