37 degrees
First, let's figure out the circumference of a circle that has a radius of 3.6 km. So
3.6 km * 2 * pi = 7.2 km * pi ~ 22.61946711 km
So the circumference is approximately 22.61946711 km.
Now let's determine how much of that circumference the jet traveled.
2.3 km / 22.61946711 km = 0.101682325
Finally, since a full circle is 360 degrees, let's multiply by that to get the angle.
0.101682325 * 360 = 36.60563691
So after rounding to 2 significant figures, the jet turned through an angle of 37 degrees.