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Calculating Normal force of Incline on the Block

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My problem is that I need to determine the normal force of the incline on the block.

The coefficient of static friction between the block and incline is mu^s = .295.

I have determined that the minimum value of "F" is 18.49 N.

I understand that "F" * sin (59.5) would be my answer to determine the normal force, yet I keep struggling on determining "F". Please help. The question is attached.

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https://brainmass.com/physics/newtons-laws/calculating-normal-force-incline-block-35635

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This solution is provided in 85 words and uses a forces diagram and a diagram of the system to further understanding of the problem. The solution is provided in both .doc and .pdf format, and information is given to solve the problem as well as help the student solve it themself.

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A block lies on a plane tilted at an angle theta = 22.0* to the horizontal, with the coefficient of kinetic friction mu_k = 0.17.
a) Determine the acceleration of the block as it slides down the plane.
b) If the block starts from rest 9.3 m up the plane from its base, what will be the block's speed when it reaches the bottom of the incline?

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