You should use torque equations to solve this. Torque is the length of the beam multiplied by force, multiplied by the sine of the angle the force makes with the moment arm. (6x833*sin75)
Then you need to figure out what force from the cable, will provide the necisary torque to keep things in equalibrium.
Summary: The sum of the torques and forces in equalibrium is zero. Find the torque from the mass, then use this to find what the tension is.