Solve for F1 and F2 F2 sin70 degree F1 cos60 degree 25 squ
     Solve for F1 and F2?  F_2 sin(70 degree) + F_1 cos(60 degree) = 25 squareroot 3 + 56/10  F_2 cos(70 degree) - F_1 sin(60 degree) = 17/10 
  
  Solution
I am just solving the equation -
F2 * 0.94 + F1* 0.50 = 9.93
=> F2 + 0.53*F1 = 10.56
=> F2 = 10.56 - 0.53*F1---------------------------------------------(i)
Now, second equation is -
F2*0.34 - F1*0.87 = 1.7
Putting the value of F2 from (i) -
(10.56 - 0.53*F1)*0.34 - F1*0.87 = 1.7
=> 3.59 - 0.18*F1 - F1*0.87 = 1.7
=> 1.05*F1 = 1.89
=> F1 = 1.8
So, F2 = 10.56 - 0.53*1.8 = 9.61.
Put the units of F1 and F2 as mentioned in the problem.

