If the sum of intercepts of the tangent line from the point (\(3\sqrt 3\)  cos θ, sin θ) to the ellipse \(\frac{{{x^2}}}{{27}}\, + \,{y^2}\, = \,1\), where 0 < θ < \(\frac{{\rm{\pi }}}{{\rm{2}}}\), is minimum, then the value of θ is -