已知 α\alphaα 为锐角, sinαsin(α+π6)−45=cosαsin(π3−α)\sin \alpha \sin \left( {\alpha + \frac{\pi }{6}}\right) - \frac{4}{5} = \cos \alpha \sin \left( {\frac{\pi }{3} - \alpha }\right)sinαsin(α+6π)−54=cosαsin(3π−α) ,则 sinα=\sin \alpha =sinα= ( )A. 215+510\frac{2\sqrt{15} + \sqrt{5}}{10}10215+5B. 215−510\frac{2\sqrt{15} - \sqrt{5}}{10}10215−5C. 25+1510\frac{2\sqrt{5} + \sqrt{15}}{10}1025+15D. 25−1510\frac{2\sqrt{5} - \sqrt{15}}{10}1025−15