A $10-$ft boom is acted upon by the $970-$lb force as shown in the figure.

Determine the tension in each cable and the reaction at the ball$-$and$-$socket joint at $A$

The tension in cable $BD$ is $$ lb$.$

The tension in cable BE is $$ lb$.$

The reaction at $A$ is $($ lb$)i+1$ lb$)$ j$.($Include a minus sign if necessary.$)$