We can use the pythagorean theorem to find the distance between the two cities. This theorem is [tex]a^2 + b^2 = c^2[/tex] where a and b are the legs of the triangle and c is the hypotenuse of the trinagle. Therefore:
[tex]14^2 + b^2 = 50^2[/tex]
[tex]196 + b^2 = 2500[/tex]
[tex]b^2 = 2304[/tex]
[tex] b = \sqrt{2304} [/tex]
[tex] b = 48[/tex]
Thus, the answer is B, 48 miles.
