1. Yes, a regular hexagon can be drawn using rotations.
2.To find the answer, first find the number of sides of a hexagon. A hexagon has six sides.
Divide 360 by 6 = 360/6=60 degrees.
So the angle of rotation for a point on the circle for drawing a regular hexagon is 60 degrees.
Solve for the two velocities:
with the current = 48/6 = 8 mph
against the current = 48/8 = 6 mph
bv= boat velocity in still water
cv = current velocity
A) bv -cv = 6mph
B) bv + cv = 8mph
Adding both equations
2 * bv = 14 mph
boat velocity = 7 mph
current velocity = 1 mph
Calculator and tutorial can be found here:
http://www.1728.org/veloccal.htm