Compute all parts of given problem:
Problem: Canadian geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. One such bird is flying at 100 km/h relative to the air, but there is a 34.0km/h wind blowing from west to east.
Part I: At what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground?
Part II: How long will it take the bird to cover a ground distance of 500km from north to south? (Note that even on cloudy nights, many birds can navigate using the earth's magnetic field to fix the north-south direction.)
Please provide any help is greatly appreciated!