Answer:
u = 16
v = 8•sqroot(3)
Explanation:
A 30°-60°-90° triangle is a Special Right Triangle. There are SHORTCUTS to find the lengths of the sides so you don't have to do trig or use Pythagorean theorem to find them.
The longest side (hypotenuse) is DOUBLE the shortest side. Or the shortest side is HALF the longest side.
The Long Leg is the Short Leg×sqroot(3).
Or the Short Leg is the Long Leg÷sqrt3
So you have:
Short Leg = 8
Longest Side = 16
Long Leg = 8sqrt3