The guy wires $AB$ and $AC$ are attached to the top of the transmission tower. The tension in cable $AB$ is $7\mathrm{.}1$ kN $.$ Determine the required tension $T$ in cable $AC$ such that the net effect of the two cables is a downward force at point $A.$ Determine the magnitude $R$ of this downward force.

Assume $a=39m,b=47m,c=31m,$ and $d=39m.$

Answers:

$T=$

$5\mathrm{.}43$

$kN$

$R=$

$-10\mathrm{.}3$

$kN$