An object is launched at speed $v_0$ up a hill sloped at $30^{\circ}$ relative to the horizontal. The launch angle $\theta$ (relative to the horizontal) that maximizes the range along the slope is given by the formula $\theta = 45^{\circ} + \frac{\alpha}{2}$, where $\alpha$ is the slope angle of the hill. What is this optimal launch angle in degrees?