F1x=50cos(48)=33.4565 lb F1y=50sin(48)=37.1572lb F2x=30cos(23)=27.6152lb F2y=30s

Question

F1x=50cos(48)=33.4565 lb                             F1y=50sin(48)=37.1572lb F2x=30cos(23)=27.6152lb                             F2y=30sin(23)=11.7219lb F3x=F3cos(37)=.79864F3 lb                       F3y= -F3sin(37)= -.60182 F3 lb
Rx = 33.4565 + 27.6152 + 0.79864 F3 lb = R
Ry = 37.1572 +11.7219 - 0.60182 F3 = 0lb
These are the answers below but I can't figure out how they werecalculated from the above solution. Can someone please demonstratehow it should be entered into the calculater or if it's missingsomething.
F3 = 81.2 lb
R = 125.9 lb Ry = 37.1572 +11.7219 - 0.60182 F3 = 0lb
These are the answers below but I can't figure out how they werecalculated from the above solution. Can someone please demonstratehow it should be entered into the calculater or if it's missingsomething. F3 = 81.2 lb R = 125.9 lb

Explanation / Answer

F1x=50cos(48)=33.4565 lb                             F1y=50sin(48)=37.1572lb F2x=30cos(23)=27.6152lb                             F2y=30sin(23)=11.7219lb F3x=F3cos(37)=.79864F3 lb                       F3y= -F3sin(37)= -.60182 F3 lb
The resulatnt is along X-axis. So, y-componenet of R is zero i.e., Ry = 37.1572 + 11.7219 - 0.60182 F3 =0         37.1572 +11.7219 = 0.60182 F3          48.8791 = 0.60182 F3           F3 =81.21 lb and resulatnt = x-component of R                    = Rx                    = 33.4565 + 27.6152 + 0.79864 F3                    = 33.4565 + 27.6152 + (0.79864*81.21)                    = 125.92 lb

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