Solve Box on an Incline with Trig, Geom & Newtons Laws

[Ainulph]

Homework Statement

Homework Equations

Trigonometry
Geometry - Intersection on a Line
Physics - Newtons Laws

The Attempt at a Solution

I am just lost. I move the Cartesian coordinates to the incline of the free body diagram to begin.I know that the normal force is perpendicular to the surface and that the force of gravity must be divided into its x and y components. Considering Newton's Third Law, the force applied to the incline by the gravity and person should equal to normal force that box experiences.

Thanks for reading, hope to hear by you soon.

 

[ehild]

Divide also the applied force into its x (parallel to the slope) and y (normal to the slope) components. The normal component is not 110/tan(64°).

ehild

 

[Ainulph]

Ah, thank you! I can't believe I made that mistake every time.