Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint $\textbf{B}$ be $H_B$ and $V_B$, respectively and $V_C$ be the vertical reaction at the joint $\textbf{C}$.
Which one of the following sets gives the correct values of $V_B$, $H_B$ and $V_C$?
- $V_B=0; \: H_B=0; \: V_C = P$
- $V_B=P/2; \: H_B=0; \: V_C=P/2$
- $V_B=P/2; \: H_B=P (\sin 60^{\circ}); \: V_C=P/2$
- $V_B=P; \: H_B = P (\cos 60^{\circ}); \: V_C=0$