Ladder on the Wall

In the image above we have a ladder that is resting with the bottom end on the floor and the top end against the wall. The ladder is homogeneous in a way that its mass is equally distributed in through its structure. The coefficient of static friction between the ladder and the floor and wall is μ=0.4\mu=0.4. What is the maximum angle θ\theta (degrees) it can makes with the wall without slipping?

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