Hey, thanks for the reply.
You are right. But I didn't draw that in the problem just for simplicity sake. If you break R and T into components, when you sum forces you get:
→ƩFx = 0 = -12/13 T + 4/5 R
Solve for T = 13/15 R
^ƩFy = 0 = +5/13 T + 3/5 R - 180
180 = 14/15 R
R = 192.9 newtons
T = 167.2 newtons
Doing the beginning of the same problem with moments (dont have much time to go through this):
(ccw+) ƩMr = 0 = +T(12/13)(0.36 meters) + T(5/13)(0.48 meters) - 180(0.24 meters)
180(0.24) = 0.517 T
T = 83.57 newtons ????????????????
edit: I just realized when I do moments, the magnitude is half of when I do forces. Any insight?