A boom $AB$ is supported in by a hinge $A$ and a cable which runs from $C$ over a small pulley at $D$ as shown.
Compute the tension $T$ in the cable and the horizontal and vertical components of the reaction at $A$ if the cable pulls the boom $AB$ into a position at which it is inclined at 30° above the horizontal. The loads remain vertical. Neglect the size of the pulley at $D$.
