point $A,$ a roller support at point $B,$ and a cable puling on point $B$ horizontally. As seen in the diagram, this siructure is $12$ m long, but tilted upward at an angle of $25$ above horizontal. The platform has a mass of $100$ eg and its center of nass is located at point $G.$ For the given system:

$($a$)$ Draw a free body diagram of the platform $[6$ points$]$

$($b$)$ Calculate the magnitude of the vertical reaction at point $A[8$ points$]$

$($c$)$ Calculate the maanitude of the diaconal reaction at noint $A$ in mintel