Answer:
6.06 km
Step-by-step explanation:
The information given in the question can be represented by the three sides if a right angled triangle.
Let the direct line from the airplane to the start of the runway be represented by x. So that applying the appropriate trigonometric function, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]8^{o}[/tex] = [tex]\frac{6}{x}[/tex]
0.9903 = [tex]\frac{6}{x}[/tex]
⇒ x = [tex]\frac{6}{0.9903}[/tex]
= 6.0588
x = 6.06 km
The direct line from the airplane to the stat of the runway is 6.06 km.