The boat below is being pulled by two forces P and S P has a

The boat below is being pulled by two forces, P and S, P has a magnitude of 5 kips and S has a magnitude of 8 kips. The angle between P and S is 65 degrees. What is the magnitude of the resultant of the two vectors and what is the resultant\'s angle from vector P?

Solution

Magnitude of resultant vector = (P^2 +Q^2 + 2*P*Q*cos)^0.5

                                                         = (5^2 + 8^2 + 2*5*8*cos65)^0.5

                                                       = 11.08

tan = Q sin/(P+Qcos)

= 40.9