Four forces act on a hot-air balloon with F1 = 1690 N and F2 = 5020 N?

Question

Four forces act on a hot-air balloon with F1 = 1690 N and F2 = 5020 N Find the magnitude and direction of the resultant force on the balloon.

Answer 1

If forces appose each other then R=F2-F1
If they are aiding each other then R=F2+F1
If they have horizontal and vertical components
R=sqrt((Fx)^2 +(Fy)^2) where
Fx=F1cos(A) + F2cos(B)
Fy=F1sin(A) + F2sin(B)

The angle of the resultant is then
C=arcktan(Fy/Fx)

Answer 2

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