SOLUTION: if A has a magnitude of 55.9 an B has a magnitude of 42.3 find the magnitude R of the resultant and the angle that resultant makes with vector B given the angle with A is 55.5 degr

Algebra ->  Trigonometry-basics -> SOLUTION: if A has a magnitude of 55.9 an B has a magnitude of 42.3 find the magnitude R of the resultant and the angle that resultant makes with vector B given the angle with A is 55.5 degr      Log On


   



Question 1100445: if A has a magnitude of 55.9 an B has a magnitude of 42.3 find the magnitude R of the resultant and the angle that resultant makes with vector B given the angle with A is 55.5 degrees
Answer by jimbols(1) About Me  (Show Source):
You can put this solution on YOUR website!
We can use force triangle in this situation.
Using Cosine Law,
R² = 55.9² + 42.3² - 2(55.9)(42.3)cos(124.5)
R = 87.14
Using Sine Law,
87.14/sin(124.5) = 55.9/sin(Ɵ)
Ɵ; = 31.916 degrees