Answer:
Option A [tex]\sqrt{187.95}\ Km[/tex]
Step-by-step explanation:
we know that
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the greater side (the hypotenuse)
a and b are the legs
we have
[tex]a=3.7\ Km[/tex] ----> the height of the airplane
[tex]c=14.2\ Km[/tex] ---> slant distance from the airport
substitute
[tex]14.2^2=3.7^2+b^2[/tex]
solve for b
[tex]b^2=14.2^2-3.7^2[/tex]
[tex]b^2=187.95[/tex]
[tex]b=\sqrt{187.95}\ Km[/tex]
