The work required to push the weight up the board is the same as if you lifted the weight straight up to the
1.5 meter height (Assuming no friction!). You just use less force to push it up the incline but you push it a longer distance.
In either case, the Work = Force*Distance = (Weight)*(Height)=(100 kg)(9.8m/s2)(1.5m) = 1,470 (kg-m2)/sec2
or Work = 1,470 N-m