Similarity Math Example 2

Solution

1. 1
   The sun's rays create similar right triangles (same angle of elevation).
2. 2
   Set up the proportion: $\frac{\text{tree height}}{\text{tree shadow}} = \frac{\text{pole height}}{\text{pole shadow}}$.
3. 3
   Substitute: $\frac{h}{15} = \frac{2}{3}$.
4. 4
   Solve: $h = \frac{2 \times 15}{3} = 10$ m.