SOLUTION: Add the following vectors: A = 352, θA = 174° and B = 276, θB = 358 Show work:

Algebra ->  Trigonometry-basics -> SOLUTION: Add the following vectors: A = 352, θA = 174° and B = 276, θB = 358 Show work:      Log On


   

Question 944919: Add the following vectors:
A = 352, θA = 174° and B = 276, θB = 358
Show work:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
A = 352, θA = 174° and B = 276, θB = 358

 horizontal components  |   Vertical components
------------------------|------------------------
352cos(174°)= -350.0717 |  352sin(174°)= 36.7940
------------------------|------------------------
276cos(358°)=  275.8319 |  276sin(358°)= -9.6323
------------------------|------------------------
Totals:        -74.2398 |                27.1617



            tan(θR) = 27.1617/-74.2398
            tan(θR) = -0.36586
                 θR = 159.9042°  since θR is in quadrant II

           R =  sqrt%28%28-74.2398%29%5E2%2B%2827.1617%29%5E2%29
           R = 79.0526


Edwin