Question

a buildings shadow measures 30 meters. a 2 - meter pole beside it has a shadow of 4 meters. what is the height of the tower?

Explanation:

Step1: Set up proportion

Let the height of the building be $h$. Since the ratio of height to shadow - length is the same for both the pole and the building, we have the proportion $\frac{h}{30}=\frac{2}{4}$.

Step2: Cross - multiply

Cross - multiplying gives us $4h = 2\times30$.

Step3: Simplify the right - hand side

$2\times30 = 60$, so $4h=60$.

Step4: Solve for $h$

Dividing both sides by 4, we get $h=\frac{60}{4}=15$.

Answer:

15