Question

a silos shadow measures 45 meters. a 3 - meter pole beside it casts a shadow of 9 meters. how tall is the silo?

Explanation:

Step1: Set up proportion

Let the height of the silo be $x$. Since the ratio of object - height to shadow - length is the same for both the pole and the silo, we have the proportion $\frac{x}{45}=\frac{3}{9}$.

Step2: Cross - multiply

Cross - multiplying gives us $9x = 3\times45$.

Step3: Simplify right - hand side

$3\times45=135$, so $9x = 135$.

Step4: Solve for $x$

Dividing both sides by 9, we get $x=\frac{135}{9}=15$.

Answer:

15