Question

A plane flies 955 km due east,then turns to north and flies another 649 km. Determine the polar coordinates of the plane's finam position

Answer 1

The magnitude of the displacement vector:

$$D=\sqrt{955^2+649^2}=1155\text{ km}.\\\space\\ \theta=\tan^{-1}\frac{955}{649}=55.8°\text{ E of N}.$$