Tension in Cable: Solving Using Trig

[ChaosCon343]

Homework Statement

A 36.0 kg uniform beam is attached to a wall with a hinge while its far end is supported by a cable such that the beam is horizontal.

http://a1.educog.com/res/msu/physicslib/msuphysicslib/24_Statics_Equilibrium/graphics/prob20_beamhinge2.gif

If the angle between the beam and the cable is θ = 69.0° what is the tension in the cable?

Homework Equations

Unknown other than basic trigonometry

The Attempt at a Solution

I tried using simple trigonometry; Cos(69)=(36*g)/h, but to no avail. I believe the reason it didn't work to be because the cable is not attached to the bar's center of mass, but I've no idea how to correct this. A point in the right direction would be greatly appreciated!

 

[azatkgz]

Use torque about hinge.