Question

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 (right triangles sharing angle at $A$).

Step2: Set up proportion

Corresponding sides are proportional:
$\frac{AD}{AE} = \frac{AB}{AC}$

Step3: Substitute known values

$\frac{5200}{AE} = \frac{5600}{7000}$

Step4: Solve for $AE$

First simplify $\frac{5600}{7000} = \frac{4}{5}$, so:
$AE = 5200 \times \frac{5}{4}$
$AE = 1300 \times 5$

Answer:

6500