Question

a tree casts a shadow of 12 meters, while a 2 - meter tall pole next to it casts a shadow of 3 meters. how tall is the tree?

Explanation:

Step1: Set up proportion

Let the height of the tree be $h$. Since the ratio of height to shadow - length is the same for both the tree and the pole, we have the proportion $\frac{h}{12}=\frac{2}{3}$.

Step2: Solve for $h$

Cross - multiply: $3h = 2\times12$. Then $3h=24$. Divide both sides by 3: $h=\frac{24}{3}$.

Answer:

8