Answer
$\frac{\sqrt 3}{2\sqrt 2}$
Work Step by Step
$\sin\theta=\frac{1}{\csc\theta}=\frac{1}{\frac{\sqrt {24}}{3}}=\frac{3}{\sqrt {24}}$
$=\frac{3}{2\sqrt {3}\times\sqrt {2}}=\frac{\sqrt {3}\times\sqrt {3}}{2\times\sqrt {3}\times\sqrt {2}}=\frac{\sqrt 3}{2\sqrt 2}$
