Question

How far from the farmhouse will the airplane be after it has traveled 4 miles at the same altitude?

Answer 1

Given:

Altitude = 3 miles

Let's determine how far from the farmhouse the airplane will be if it has travelled 4 miles at the same altitude.

The figure below represents this situation:

To find the distance, apply pythagorean theorem:

$c^2=a^2+b^2$

Where:

a = 3 miles

b = 4 miles

Thus, we have:

$\begin{gathered} c^2=3^2+4^2 \\ \\ c^2=9+16 \\ \\ c^2=25 \end{gathered}$

Take the square root of both sides:

$\begin{gathered} \sqrt[]{c^2}=\sqrt[]{25} \\ \\ c=5 \end{gathered}$

Therefore, the distance between the airplane and the farmhouse is 5 miles.

ANSWER:

5 miles