IN DESPERATE NEED OF HELP!
Giving a medal to who ever can give me a answer!

Alicia draws a diagram to represent two forces, F1 and F2, acting on a body. The angle between the directions of the forces is 50° as shown in the diagram. Alicia notices that she can use the Law of Sines to find the magnitude of the resultant force R in the diagram. What is the value of R?

Question

IN DESPERATE NEED OF HELP!
Giving a medal to who ever can give me a answer!

Alicia draws a diagram to represent two forces, F1 and F2, acting on a body. The angle between the directions of the forces is 50° as shown in the diagram. Alicia notices that she can use the Law of Sines to find the magnitude of the resultant force R in the diagram. What is the value of R?

anonymous · Answer

attachment

anonymous · Answer

The answer has to be one of these options:
  120.1 N
  78.0 N
  70.7 N
  38.5 N
  45.0 N

anonymous · Answer

Drop vertical line down from B, to same level as A, label this line BD

BD = 38 sin(50) = 29.1

CD = 38 cos(50) = 24.4

AD =  AC + CD = 40 + 24.4 = 64.4
 
Pythagoras next    AB^2 = BD^2 + AD^2

AB = 70.7N

anonymous · Answer

thank you so much!

anonymous · Answer

You are very welcome. Glad to help.