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:
[tex]c^2=a^2+b^2[/tex]
Where:
a = 3 miles
b = 4 miles
Thus, we have:
[tex]\begin{gathered} c^2=3^2+4^2 \\ \\ c^2=9+16 \\ \\ c^2=25 \end{gathered}[/tex]
Take the square root of both sides:
[tex]\begin{gathered} \sqrt[]{c^2}=\sqrt[]{25} \\ \\ c=5 \end{gathered}[/tex]
Therefore, the distance between the airplane and the farmhouse is 5 miles.
ANSWER:
5 miles
