Magnitude of force exerted by cables on a tower

[CoilMaker]

Given the tower is 70 m high, and the force of FAB= 2 kN and the x and z components of the vector sum of the forces exerted on the tower by the 3 cables are zero. I have found the lengths of all 3 cables. I have also found the unit vectors for all 3 cables. I just do not know how to find the magnitude of FAC and FAD. I have attached a screen shot of the drawing and my work.

 

[berkeman]

The vector sum of all the forces on the tower has to equal zero. Write the sum of the forces in each of the 3 dimentions (including the forces at the bottom of the tower), and set them to zero. You should have enough information to solve for the cable tensions.