Solution: Because the coordinate of point A is (0,2), the coordinate of point B is (5,3).

So OA=2, BH=3, OH=5,

Because the angle 1= angle 2=45 degrees,

So OC=OA=2, CH=BH=3,

So from the Pythagorean theorem:

The radical number 2 of AC=2, the radical number 2 of BC=3,

Therefore, the path length of this beam of light from point A to point B is: 5 and 3.