Canada 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. The one goose is flying at 100 km/h relative to the air but a 50 km/h wind is blowing from west to east. 1) At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground? 2) How long will it take the goose to cover a ground distance of 550 km from north to south? (Note: Even on cloudy nights, many birds can navigate using the earth's magnetic field to fix the north-south direction.)

Canada 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. The one goose is flying at 100 km/h relative to the air but a 50 km/h wind is blowing from west to east. 1) At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground? 2) How long will it take the goose to cover a ground distance of 550 km from north to south? (Note: Even on cloudy nights, many birds can navigate using the earth's magnetic field to fix the north-south direction.)