In the diagram, line AB is parallel to DE. Also, line DE is drawn such that the length of line DE is half the length of line AB. If sin A=0.5, then what is sin E?

By alternate interior angle theorem. Angle A is congruent with Angle E.
This makes ΔAFB similar to ΔEFD.
IF sin A = 0.5, then sin E is also equal to 0.5.