Answer
about 72 nautical miles
Work Step by Step
Sketch (see below) and note:
122 degrees bearing = 90 + 32 degrees...
$|OA|=2.5\cdot 16=40$ nautical miles
$|OA|=2.5\cdot 24=60$ nautical miles
The triangle AOB is a right triangle,
Using the Pythagorean Theorem,
$ x=\sqrt{40^{2}+60^{2}}\approx$72.1110255093 nautical miles
