type the correct answer in the box. an airplane takes off from point a in a straight line, as shown in the…

Explanation:

Step1: Use similar - triangles property

Since the two right - triangles $\triangle ABD$ and $\triangle ACE$ are similar, the ratios of their corresponding sides are equal. Let the distance from $A$ to $E$ be $x$. The ratio of the sides of similar triangles gives $\frac{5600}{7000}=\frac{5200}{x}$.

Step2: Cross - multiply

Cross - multiplying the proportion $\frac{5600}{7000}=\frac{5200}{x}$ gives $5600x = 7000\times5200$.

Step3: Solve for $x$

First, calculate $7000\times5200 = 36400000$. Then $x=\frac{36400000}{5600}=6500$.

Answer:

6500