My understanding of this question is that the "possible solutions" have not included ∆PE, and also, i have no clue where they got there value for mass from. If you include ∆PE, and use the correct mass, you get 28.11m.
the mass can be found as we know the resistance to motion (Frictional force) is µN. And we also know µ=tan5. Therefore 18000=tan5 x mgcos5, and u get m=20.653 tonnes.
now, we let ∆PE + ∆KE =Fs.
F=18000+mgsin5, and now the only trick is to find the height when it stops, but this is found using sin as sin5=h/s, so h=s x sin5.
Then it is a matter of substitution and solving for s.
P.s, i'm not 100% sure this is right, but this is how to get the answer 28.11, or at least how i got it.