A pilot flies her route in two straight-line segments. The displacement vector A for the first segment has a magnitude of 251 km and a direction...

A pilot flies her route in two straight-line segments. The displacement vector A for the first segment has a magnitude of 251 km and a direction 30.0o north of east. The displacement vector for the second segment has a magnitude of 167 km and a direction due west. The resultant displacement vector is R = A + B and makes an angle θ with the direction due east. Using the component method, find (a) the magnitude of R and (b) the directional angle θ.