Question

use similar triangles and a proportion to find the height of the house shown in the figure. enter an exact number. resources read it watch it

Explanation:

Step1: Set up the proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let \( h \) be the height of the house. Then \(\frac{6}{4}=\frac{h}{16}\).

Step2: Solve the proportion for \( h \)

Cross - multiply: \( 4h = 6\times16 \).
\( 4h=96 \).
Divide both sides by 4: \( h=\frac{96}{4} \).

Answer:

\( 24 \)