Question

a cliff casts a shadow of 50 meters. at the same time, a 3 - meter tall tree casts a shadow of 10 meters. how high is the cliff?

Explanation:

Step1: Set up proportion

Let the height of the cliff be $h$. Since the ratios of object - height to shadow - length are equal at the same time, we have $\frac{h}{50}=\frac{3}{10}$.

Step2: Solve for $h$

Cross - multiply: $10h = 3\times50$. Then $10h=150$. Divide both sides by 10: $h=\frac{150}{10}=15$.

Answer:

15