Answer
$72\ n-miles$
Work Step by Step
1. Draw a diagram as shown.
2. Use the given conditions, we have $AB=16\times2.5=40\ n-miles$, $AC=24\times2.5=60\ n-miles$, and angle $A=122^\circ-32^\circ=90^\circ$
3. Use Pythagorean's Theorem in the right triangle, we have $x=\sqrt {40^2+60^2}\approx72\ n-miles$
