Question 8Pentagon $ABCDE$ is inscribed in a circle, and $\angle BEC = \angle CED = 30^\circ.$ Let $AC$ and $BD$ intersect at point $F,$ and suppose that $AB = 9$ and $AD = 24.$ What is $BF?$$\dfrac{57}{11}$$\dfrac{59}{11}$$\dfrac{60}{11}$$\dfrac{61}{11}$$\dfrac{63}{11}$