find the resultant force 10N and 20N acting at 30¡ã

1 answer

I assume that is 30 degrees. Now you have to be careful when transfering vectors to trig formulas. Vectors are added head to tail, so draw the figure, head to tail now makes the angle 150 between the vectors in the vector diagram.

Law of Cosines:
Resultant^2=10^2+20^2 -2*10*20*cos150
resultant^2= 10^2+20^2 +2*10*20*cos30
and you have it. Study the diagram you sketched and the words I wrote, be be certain you understand how to add vectors when using trig formulas.