A sign is hung by two chains from mast $AB.$ The mast is hinged at A and is supported by cable $BC.$ Knowing that the tensions in chains $DE$ and $FH$ are $140$ N and $295$ N $,$ respectively, and that $d=0\mathrm{.}47m,$ determine:

$($a$)$ the tension in cable $BC,$

$($b$)$ the reaction at $A.$

$T=$

$N$

$Ax=$

$N$

$-$

$Ay=$

$N$