Serway & Jewett — Vectors: Problem 27

A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of \(150 \text{ cm}\) and makes an angle of \(120^\circ\) with the positive \(x\) axis. The resultant displacement has a magnitude of \(140 \text{ cm}\) and is directed at an angle of \(35.0^\circ\) to the positive \(x\) axis. Find the magnitude and direction of the second displacement.