Need to prove my teacher wrong on this test question

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2. A 1.50 kg bottle of wine sits in a wine rack as pictured below. The sides of the rack form an angle of 30 degrees. Find the force exerted by the wine bottle on each side of the rack. what is F1 and F2?
 

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my teacher says that F1=25.46 Netowns and F2= 29.4 Newtons
 
I agree with your teacher and I disagree with your attitude.

"I need to prove my teacher wrong." Really, how about trying:

"How am I doing this wrong? What do I need to do to fix my mistake?"