Newton's 2nd Law/Coefficient of friction

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The discussion revolves around a physics problem involving a sled on an inclined plane, where the sled is held by a cord and is on the verge of moving up the plane. The key data points include forces F1 and F2, with corresponding static friction coefficient μ2. The user is struggling to determine the angle of inclination θ of the plane and is unsure how to calculate the maximum static friction necessary for solving the problem. They have attempted various approaches but are unable to arrive at a sensible answer, and they also mention issues accessing the required figures. Assistance is sought to clarify the calculations and determine the angle.
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Homework Statement


In the figure a sled being held on an inclined plane by a cord pulling directly up the plane. The sled is to be on the verge of moving up the plane. In the lower figure data is plotted with the magnitude F required of the cord's force on the sled is plotted versus a range of values for the coeffient of static friction μs between sled and plane. F1 = 10.50 N, F2 = 26.25 N, and μ2 = 0.290. At what angle θ is the plane inclined? (deg)
http://nplq1.phyast.pitt.edu/res/sc/gblanpied/courses/usclib/hrw8/hrwpictures/hrw8c6f028.jpg
http://nplq1.phyast.pitt.edu/res/sc/gblanpied/courses/usclib/hrw8/hrwpictures/hrw8c6f034.jpg

Homework Equations

The Attempt at a Solution

I've tried pretty much everything i can think of on this problem and can't seem to get any answer that makes sense. I tried to set the acceleration equal to zero but i kind of think that in order to find the angle i would need the greatest static friction possible but i don't really know how to do that.
 
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Cannot see the figure as it requires a login ID.
 
except the angle is not 20 deg but only theta in my picture
 
Can someone please help? I think I've fixed the link to the pictures and i still need assistance if possible
 
there is no figure...
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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