Alphymus

The sign shown below consists of two uniform legs attached by a frictionless hinge. The coefficient of friction between the ground and the legs is $\mu$. Which of the following gives the maximum value of $\theta$ such that the sign will not collapse?

(A) $\sin \theta = 2\mu$
(B) $\sin \theta/2 = \mu/2$
(C) $\tan \theta/2 = \mu$
(D) $\tan \theta = 2\mu$
(E) $\tan \theta/2 = 2\mu$