Question

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

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 \(h=\frac{39\times16}{48}\). Simplify \(\frac{39\times16}{48}=\frac{39}{3}=13\)

Answer:

\(13\space m\)