CAIE M1 2012 June — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2012
SessionJune
TopicVectors Introduction & 2D

2
\includegraphics[max width=\textwidth, alt={}, center]{01e73486-5a95-4e65-bf18-518d1adc7cfb-2_318_632_482_753} Forces of magnitudes 13 N and 14 N act at a point \(O\) in the directions shown in the diagram. The resultant of these forces has magnitude 15 N . Find
  1. the value of \(\theta\),
  2. the component of the resultant in the direction of the force of magnitude 14 N .