Question

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 Cosines to find the magnitude of the resultant force R in the diagram. What is the value of R? 120.1 N
78.0 N
70.7 N
38.5 N
45.0 N

Answer 1

@ms.hi @lex.mcgrew @sweetpeagirl

Answer 2

@SolomonZelman can you please help

Answer 3

not sure how to do this

Answer 4

@kashthesmartguy

Answer 5

@Kash_TheSmartGuy

Answer 6

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