A crane consists of a light, rigid boom of length \(L\) attached to a vertical support wall by a frictionless pivot at its base. A horizontal cable connects the wall to the top end of the boom, and a crate of weight \(W\) hangs from the same top end. In Scenario 1, the boom is held in static equilibrium at an angle \(\theta_1 = 30^\circ\) above the horizontal, resulting in a cable tension \(T_1\). In Scenario 2, the boom is held in static equilibrium at an angle \(\theta_2 = 60^\circ\) above the horizontal, resulting in a cable tension \(T_2\). What is the ratio \(\dfrac{T_1}{T_2}\) of the cable tensions in the two scenarios?