"A block of mass 5kg rests on a rough plane inclined at 27° to the horizontal. A force of 35N acts parallel to the plane, and the block is on the point of moving up the plane. Find:
(a) The reaction force between the block and the plane (3 s.f.)
(b) The coefficient of friction between the block and the plane (3 s.f.)"
I've managed to do part a by using R - 5gcos(27°) = 0 and then rearranging to find R, but I can't figure out how to solve for part b, I've tried using the 35 given in the equation then dividing that by the Reaction force (using equation f = uR) to get the coefficient, this gave me 0.802, which is wrong according to Integral Maths, and I'm not particularly sure what else to do.
I've attached my working out as well as a picture of the diagram I have drawn for the question, any help would be appreciated.