Question

1. if a tree cast a 24 ft shadow at the same time a yardstick (3ft) casts a 2 ft shadow, find the height of the tree?

16
27
25
36

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the tree. The ratio of height to shadow length should be equal for the tree and the yardstick. So, \(\frac{h}{24}=\frac{3}{2}\).

Step2: Solve for \( h \)

Cross - multiply: \( 2h = 3\times24 \). Then \( 2h=72 \). Divide both sides by 2: \( h=\frac{72}{2}=36 \).

Answer:

36