Answer
$\frac{1}{16}~sin~59^{\circ}$
Work Step by Step
We can use this identity: $sin~2x = 2~sin~x~cos~x$
$\frac{1}{8}~sin~29.5^{\circ}~cos~29.5^{\circ}$
$= \frac{1}{16}~(2~sin~29.5^{\circ}~cos~29.5^{\circ})$
$= \frac{1}{16}~sin~59^{\circ}$