Question

1. a tree casts a shadow of 15 meters. a 2 - meter stick casts a shadow of 3 meters. what is the height of the tree? a. 10 meters b. 12 meters c. 7.5 meters d. 5 meters

Explanation:

Step1: Set up proportion

Let the height of the tree be $h$. Since the ratio of the height of an object to the length of its shadow is the same for both the stick and the tree, we have the proportion $\frac{h}{15}=\frac{2}{3}$.

Step2: Solve for $h$

Cross - multiply: $3h = 2\times15$. Then $3h=30$. Divide both sides by 3: $h=\frac{30}{3}=10$.

Answer:

a. 10 meters