(no friction) inclined plane acceleration

[isuru.imsd]

Homework Statement

Homework Equations

on a inclined plane an object is at stationery. β accelaration is applied horizontally towards the inclined plane(no friction at all no where) being object is at rest relative to the inclined plane.the angle of the inclined plane is θ sinθ=1/x.what is the accelaration(β). I am a srilankan my physics test sum today

http://imageshack.us/photo/my-images/542/snapshot20111201.jpg/

The Attempt at a Solution

 

[JHamm]

If you apply an acceleration \beta against an incline plane then you are applying a force m \beta against that plane and the plane pushes back with a normal force with equal strength but with a different direction. Calculate the force pushing your object up and set this equal to the force of gravity pulling it down mg and you're done.
Alternatively parameterize gravity and the pushing force into new components parallel to the ramp and solve for these being equal.