(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.