Answer to Question #282272 in Physics for Ammy

Question

Find the sum of two vectors A=5m<60°and B=6m<130°

Answer 1

Find the components:

$A_x=5\cos{60°}=2.5\text{ m};\\ A_y=5\sin{60°}=4.33\text{ m};\\ B_x=6\cos{130°}=-3.9\text{ m};\\ B_y=6\sin{130°}=4.6\text{ m};\\ R_x=A_x+B_x,\\ R_y=A_y+B_y,\\ R=✓(R_x^2+R_y^2)=9\text{ m},\\ \theta=\arctan(R_y/R_x)=-8.9°.$