Answer:
Rx = -8.55 N : x component of the resultant force
Step-by-step explanation:
Look at the attached graphic
The given forces are shown in the graph:
F₁= 8.8N : F₁ magnitude , α=58° : F₁ direction
F₂= 6.6N : F₂ magnitude , β= 53.9° : F₂ direction
F₁ component x
F₁x = -F₁cos α = -8.8N*cos58°
F₁x : -4.66N
F₂ component x
F₂x= -F₂*cos β = - 6.6N*cos53.9°
F₂x= - 3.89 N
x component of the resultant force (Rx)
Rx = F₁x+ F₂x
Rx = -4.66N - 3.89 N
Rx = -8.55 N