Answer
Shortest side = 4
Side opposite 60° = 4$\sqrt 3$ $\approx 6.928$
Work Step by Step
The longest side of a 30°–60°–90° triangle is twice the shortest side and the side opposite the 60° angle is $\sqrt 3$ times the shortest side.
Given that
Longest side = 8
Therefore
Shortest side = $\frac{longest side}{2}$ = $\frac{8}{2}$ = 4
Side opposite 60° = $\sqrt 3\times $ shortest side = $\sqrt 3 \times$4 = 4$\sqrt 3$
Side opposite 60° $\approx 6.928$