Final answer:
The reaction at point A is the combined weight of the strut and the sign, which is 600.0 N. The tension in the cable BC is also 600.0 N.
Step-by-step explanation:
To determine the tension in the cable and the force at the h`inge of the strut, we can analyze the forces acting on the system. In this case, we have a uniform strut with a weight of 400.0 N and a sign weighing 200.0 N hanging from the end of the strut.
The strut is supported by a hi`nge at the wall and a cable attached to the wall. The weight of the sign is applied at the very end of the strut.