Vectors's question?

Question

Pls answer...'Two horizontal forces act at the same point on a body. One force of magnitude 10 N acts towards the east. The second force of magnitude 10 N acts at north 50 degree east. Determine the resultant of the two forces by ,

a) Calculation

Answer 1

first draw the forces acting on a single point and mark the angles...

east is positive = +10 N

north is also positive = +

solving horizontaly the angle to the horizontal of the second force is 40 degrees.

force 1 = 10 N

force 2 = 10 N x cos 40

Resultant force = 10 + (10 x cos 40)

Answer 2

resultant^2= 10^2+10^2+2x10x10cos 50

calculate and find out.

parallelogram law is used.