Question

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

Explanation:

Step1: Set up proportion

Since the triangles are similar, \(\frac{39}{48}=\frac{h}{16}\).

Step2: Solve for \(h\)

Cross - multiply: \(48h = 39\times16\). Then \(h=\frac{39\times16}{48}\). Calculate \(39\times16 = 624\), and \(624\div48 = 13\).

Answer:

\(13\ m\)