Please solve this using $3$ force bodies and provide FBD$\text{'}$s along the way, the answers previously given all use a different method im not interested in$.$ Cheers.

A man raises a joist $($length $=$I $)$ by pulling a rope attached to point $B.$ The centre of mass is located at the centre of the beam and the system is at equilibrium.

Hints:

The reaction does not necessarily act along the joist.

This question can be solved without the use of simultaneous equations $($Use $3$ Force Bodies$).$

Given the information in the table above, determine:

the angle of the resultant reaction, $,$ at point $A$ if at that point the ledge acts as a rough surface.

$[$degrees$],(3$ sigfig, measured anti$-$clockwise from the positive x$-$axis $-)$