Answer to Question #152227 in Physics for andrei

Question

determine the resultant and direction of the following vectors: (apply the sine and cosine law). A=30 units 45degrees North of west, B=50 units 75 degrees south of east

Answer 1

$R=\sqrt{30^2+50^2-2\cdot30\cdot50\cdot\cos5°}=20.28(units)$ . Answer

$\frac{20.28}{\sin5°}=\frac{30}{sin\alpha}\to \alpha=7.4°$

$180°-5°-7.4°=167.6°$

So, $270°-45°-167.6°=57.4°$ south of east. Answer