(Solved): The uniform boom shown below weighs 700N, and the object hanging from its right end weighs 400N ...

The uniform boom shown below weighs $700\mathrm{N}$, and the object hanging from its right end weighs $400\mathrm{N}$. The boom is supported by a light cable (we take it as massless) and by a hinge at the wall. The force from the hinge on the boom is not acting in the direction of the boom (it's not at $20^{?}$ ). Calculate the tension in the cable, and the magnitude and direction of the force from the hinge on the boom. [Hint: Choose the pivot point to be at the hinge to avoid too much trigonometry.] Show all your work and include diagrams!