2 Rods, 1 Spring

Classical Mechanics Level 3

Two identical, massive rods are hinged at one end and connected together by a massless ideal spring.

If the system is in static equilibrium, what is the angle $\theta$ (in degrees)?

Details and Assumptions:

Each rod is $1 \text{ m}$ long and has a mass of $1 \text{ kg}.$
The spring constant is $k = 50 \text{ N/m}$ , and the spring's unstretched length is $1 \text{ m}.$
The two hinges are $3 \text{ m}$ apart horizontally.
The strength of gravity is $10 \text{ m/s}^2$ in the downward, vertical direction.