Question

using a proportion, find the height of the tree. wotè pye bwa a se 12 pye. wotè pye bwa a se 16 pye. lonjit pye bwa a se 6 pye. wotè miray la se 4 pye.

Explanation:

Step1: Identify Similar Triangles

The problem involves similar triangles (the small triangle with height 4 ft and base 6 ft, and the large triangle with base 24 ft and height \( h \) (tree height)). So, the ratios of corresponding sides are equal.

Step2: Set Up Proportion

Let \( h \) be the height of the tree. The proportion is \( \frac{4}{6} = \frac{h}{24} \) (height of small triangle over base of small triangle equals height of large triangle over base of large triangle).

Step3: Solve for \( h \)

Cross - multiply: \( 6h = 4\times24 \). Calculate \( 4\times24 = 96 \), so \( 6h = 96 \). Then divide both sides by 6: \( h=\frac{96}{6}=16 \).

Answer:

Wotè pye bwa a se 16 pye.