On approximately what date will a line drawn between the last 2 stars in the cup of the big dipper point most directly at polaris?

The  two last stars of the Dipper are the Pointers; a line through them passes close to the North Star. Imagine that the North Star is the center of the clock, and an hour hand passes up to the Pointer stars. But it is a 24 hour clock, and the hour hand change backwards! Midnight = Zero hours = twenty-four hours is at the top, 6 hours = 6 AM is on the left, 12 hours = noon is at the bottom, and 18 hours = 6 PM is on the right. The clock above reads 23 hours. On the night of March 6, you can read the time directly off the clock. Daylight Saving Time = Dipper Clock Reading - 2 X (number of months after March 6) + 1 hour. 

6 cos 34, 6 sin 34 trig

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it