(Solved): The two forces shown act in the \( x-y \) plane of the T-beam cross section. If it is known that t ...

The two forces shown act in the \( x-y \) plane of the T-beam cross section. If it is known that the resultant \( R \) of the two forces has a magnitude of \( 3.6 \mathrm{kN} \) and a line of action that lies \( 10^{\circ} \) above the negative \( x \)-axis, determine the magnitude of \( F_{1} \) and the orientation \( \theta \) of \( \mathrm{F}_{2} \) Note that there are two pairs of answers to this question. The answer pair with the smaller value for \( F_{1} \). \( F_{1}= \) kN \( \theta= \) The answer pair with the larger value for \( F_{1} \). \( F_{1}= \) kN \( \theta= \)