This is from exercises on Coplanar Forces and Moments.
A particle of mass 10kg rests in equilibrium on a smooth plane inclined at 30 degrees to the horizontal, being held by a light string inclined at 15 degrees to the line of greatest slope of the plane. Find the tension in the string and the magnitude of the reaction of the plane on the particle.
Basic resolving forces...so basic I can't even do it.
The Attempt at a Solution
Well, I have resolved the 10g force to be parallel to the slope:
10 x 0 (a=0 because particle is in equilibrium?) = T - 10g.sin30
T = 10g.sin30
T = 49
and then I wondered if all I had to do was now resolve this force to be 15 degrees "up" as such but when I do that:
T = 49cos15
T = 47.33 N
Aaaaaaaand apparently the answer is meant to be 50.76N.
As for finding the reaction force...no idea. Any help with that would be well received.