Question

1. given the diagram below, find the height of the shorter tree. 39 m 48 m h 16 m 19.7 m 13 m 16.2 m 7 m

Explanation:

Step1: Set up proportion

Since the two triangles formed by the trees and the ground are similar, we can set up the proportion $\frac{39}{48}=\frac{h}{16}$.

Step2: Cross - multiply

Cross - multiplying gives us $48h = 39\times16$.

Step3: Solve for h

First, calculate $39\times16 = 624$. Then, $h=\frac{624}{48}=13$.

Answer:

13 m