<PRE><B>Question 298680</B>
The directions given indicate that point A Point B and Miami form a right angled triangle.

Point A too Miami becomes the hypotenuse which is 13 miles

Let distance from A to B be x

Then distance from B to Miami will be 17-x  ( because AB + B to Miami is 12)

13^ = x^2+ (17-x)^2

169 = x^2+ (289-34x+x^2)

169 =x^2+289 -34x +x^2

2x^2-34x+ 120=0

x^2 -17x +60=0

x^2-12x-5x+60=0

x(x-12)-5(x-12)=0

(x-12)(x-5) =0

x=12  or 5





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