Question

your turn

1. liam is 6 feet tall. to find the height of a tree, he measures his shadow and the trees shadow. the measurements of the two shadows are shown. find the height h of the tree.

Explanation:

Identify similar triangles

Using the Geometric Similarity Applications knowledge point

$$ \triangle_{\text{Liam}} \sim \triangle_{\text{Tree}} $$

Set up the proportion

Using the Corresponding Sides of Similar Figures knowledge point

$$ \frac{h}{6} = \frac{28}{8} $$

Solve for the height h

Using the Solving Linear Equations knowledge point

$$ h = 6 \cdot \frac{28}{8} = 21\text{ ft} $$

Answer:

\(h = 21\text{ ft}\)