Statics Tension, Spring, and, DownWard Force

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Boba Fet
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Homework Statement



upload_2016-2-18_18-36-35.png

Homework Equations


I am Stuck getting Theta out of the last step of equation. I have found that theta is 35 by trial and error.( i wrote an excel program)[/B]

The Attempt at a Solution


upload_2016-2-18_18-48-54.png
 
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My final equation is similar to yours, but not exactly the same:

$$\frac{P}{k}=\tan{\theta}\frac{(4-\cos{\theta})[\sqrt{5-4\cos{\theta}}-1]}{\sqrt{5-4\cos{\theta}}}$$

I didn't check my algebra, so I'm not sure of this.