Physics Problem ( Inclined plane and friction)

[vinceed9]

Homework Statement

A loaded penguin sled weighing 80N rests on an inclined plane 20 degrees to the horizontal. Between the sled and the plane, the coefficient of static friction is .25, and the coefficient of kinetic friction is .15.

Homework Equations

(a) What is the least magnitude of force parallel to the plane, that will prevent the sled from sliding down the plane? More specifically, how do I solve for this force? I draw a free body diagram to set up the problem visually, but I just don't know how to mathematically make sense of it. Thank you.

The Attempt at a Solution

 

[the_storm]

analyze the forces about x, and y axes, and since the penguin will stay at rest so it is in balance, so equate all forces with zero :)
hope it helps