Find the sum of these four vector forces: 12.0 N to the right at 35.0° above the

Question

Find the sum of these four vector forces: 12.0 N to the right at 35.0° above the horizontal,31.0 N to the left at 64.0° above thehorizontal, 9.30 N to the left at35.0° below the horizontal, and 24.0 N to the right at62.0° below the horizontal. Expressanswer as magnitude and angle counter-clockwise from horizontal tothe right. (Hint: N stands for newton, the SI unit of force. Thecomponent method allows the addition of any vectors - forces aswell as displacements and velocities. Make a drawing of thissituation, and select the best axes for x and yso that you have the least number of components.)
I did this out the way the textbook solutions told me to,using the different numbers my tacher gave me, and got the answerwrong. Find the sum of these four vector forces: 12.0 N to the right at 35.0° above the horizontal,31.0 N to the left at 64.0° above thehorizontal, 9.30 N to the left at35.0° below the horizontal, and 24.0 N to the right at62.0° below the horizontal. Expressanswer as magnitude and angle counter-clockwise from horizontal tothe right. (Hint: N stands for newton, the SI unit of force. Thecomponent method allows the addition of any vectors - forces aswell as displacements and velocities. Make a drawing of thissituation, and select the best axes for x and yso that you have the least number of components.)
I did this out the way the textbook solutions told me to,using the different numbers my tacher gave me, and got the answerwrong.

Explanation / Answer

   in the given problem we can see that when wechoose x and y axes each of the four forces lie along one of theaxes the    resultant will be    Rx = 12.0 N - 9.30 N         = ....... N    Rx = 31.0 N - 24.0 N         = ....... N    R = [(Rx2) +(Ry2)]        = ....... N     = tan-1(Ry /Rx)       = .......o         = ....... N    R = [(Rx2) +(Ry2)]        = ....... N     = tan-1(Ry /Rx)       = .......o

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