1 Two horizontal forces of magnitudes 7 N and 15 N act at a point O .
The 15 N force acts an angle of \(\theta ^ { \circ }\) above the positive \(x\)-axis.
The 7 N force acts at an angle of \(70 ^ { \circ }\) below the negative \(x\)-axis (see diagram).
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The resultant of the two forces acts only in the positive \(x\)-direction.
- Calculate the value of \(\theta\).
- Calculate the magnitude of the resultant of the two forces.