# Answer to Question #21384 in Vector Calculus for Black

Question #21384

Two workers are pulling on ropes attached to a tree stump one of them pull by 50 N and another one pull by 40 N the angle between tow forces is 60 degree . Find the magnitude and direction of the resultant force on the tree.

Expert's answer

We assume, that axis goes by direction of first worker.

So, second is pulling with the force equal toF*cos(60)=40/2=20N

So, Magnitude is 70 N

Direction can be calculated next way:50/sinå=40/sin(60-å)(sine theorem)

So, direction is (from secondworker) å=arctan(3.5/sqrt(3))=31.853

So, second is pulling with the force equal toF*cos(60)=40/2=20N

So, Magnitude is 70 N

Direction can be calculated next way:50/sinå=40/sin(60-å)(sine theorem)

So, direction is (from secondworker) å=arctan(3.5/sqrt(3))=31.853

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