Question

3 type the correct answer in the box an airplane takes off from point a in a straight line, as shown in the diagram the distance from a to e is feet

Explanation:

Step1: Identify similar - triangles

Triangles ABD and ACE are similar because they have the same angles (corresponding angles for parallel - lines and the common angle at A).

Step2: Set up the proportion

For similar triangles, the ratios of corresponding sides are equal. So, $\frac{AB}{AC}=\frac{AD}{AE}$. We know that $AB = 5600$ feet, $AC = 7000$ feet, and $AD = 5200$ feet. Substituting these values into the proportion gives $\frac{5600}{7000}=\frac{5200}{AE}$.

Step3: Cross - multiply and solve for AE

Cross - multiplying gives $5600\times AE=7000\times5200$. Then $AE=\frac{7000\times5200}{5600}$.
$AE=\frac{7000\times5200}{5600}=\frac{7000}{5600}\times5200=\frac{5}{4}\times5200 = 6500$ feet.

Answer:

6500