Question

nathan is standing next to a building. he is 6 feet tall, and the length of his shadow is 9 feet. if the length of the shadow of the building is 322.5 feet, how tall is the building? ft

Explanation:

Step1: Set up proportion

Let the height of the building be $x$ feet. We set up the proportion $\frac{\text{Nathan's height}}{\text{Nathan's shadow length}}=\frac{\text{Building's height}}{\text{Building's shadow length}}$, so $\frac{6}{9}=\frac{x}{322.5}$.

Step2: Cross - multiply

Cross - multiplying gives us $9x = 6\times322.5$.

Step3: Solve for $x$

First, calculate $6\times322.5 = 1935$. Then $x=\frac{1935}{9}=215$.

Answer:

215