Determine the maximum weight rounded down, Applied Statistics

Assume that the pulley at A is a small frictionless pulley. The cord AB is only allowed to support a maximum tension in Newtons as given in P4, and the cord supporting the block can only take half the tension of cord AB.
 
Determine the maximum weight rounded down to the nearest Newton of the block that can be suspended in the position shown, and determine the angle θ. The maximum weight rounded down to the nearest Newton of the block that can be suspended is
 
ANS:
 
The angle θ is 
 
ANS:

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