Why use sin and cos to break down weight on an inclined plane

[Ineedhelpwithphysics]

Homework Statement

In picture

Relevant Equations

Cos(x), sin(x), angle addition/subtraction.

I'm not really asking for a solution for this problem I just want to clear up a confusion I have.

Why are they multiplying the weight by the sin and cosine of the 30-degree angle?
Isn't weight not affected by anything since it's constant?

Also is the angle of friction 0 because it's a straight line?

 

[haruspex]

Did you post the entire question and solution? It should state that the coordinates chosen are parallel to the ramp (x) and normal to the ramp (y). The use of sin and cos is to find the components of the weight in those directions.

 

[Ineedhelpwithphysics]

Did you post the entire question and solution? It should state that the coordinates chosen are parallel to the ramp (x) and normal to the ramp (y). The use of sin and cos is to find the components of the weight in those directions.

sorry about that

 

[haruspex]

View attachment 333924
sorry about that

So did I answer your question?