Situation $2-$ The horizontal boom CD shown is supported by a ball$-$and$-$socket joint at $C$ and cables $AD$ and $BD.$ The weight of the boom is $15kN$ and is located $6m$ from point $C,$ compute the tension $(kN)$ in each cable.

Given:

$a=10m$;$b=3m$;$c=5m$;$d=7m$;$e=4m$

How much is the tension $(kN)$ in the cable AD$?$

A$.12\mathrm{.}30$

C$.19\mathrm{.}44$

B$.8\mathrm{.}87$

D$.17\mathrm{.}23$

How much is the tension $(kN)$ in the cable $BD?$

A$.12\mathrm{.}30$

C$.19\mathrm{.}44$

B$.8\mathrm{.}87$

D$.17\mathrm{.}23$

What is the total reaction $(kN)$ at $C?$

A$.12\mathrm{.}30$

C$.19\mathrm{.}44$

B$.8\mathrm{.}87$

D$.17\mathrm{.}23$