the situation forms a right triangle.
We have to find x
Apply the Pythagorean theorem:
c^2 = a^+b^2
Where:
c= hypotenuse (x) , the longest side
a & b = the other 2 legs of the triangle
Replacing:
x^2 = 13^2 + 10^2
Solve for x
x^2 = 169 + 100
x^2 = 269
x = √269
x= 16.4 miles