Answer:
3763.70 meters.
Explanation:
The situation is sketched below:
The distance to the airfield is called x.
From trigonometry, we know that
[tex]\tan 12=\frac{800m}{x}[/tex]multiplying both sides by x gives
[tex]x\tan 12=800[/tex]dividing both sides by tan 12 gives
[tex]x=\frac{800}{\tan 12}[/tex][tex]\therefore x=3763.70m\text{.}[/tex]Hence, the pilot must fly 3763.70 meters to get to the airfield.
