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 42 km/h wind is blowing from west to east.
a. at what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?
b. How long will it take the goose to cover a ground distance of 500 km from north to south? (Even on cloudy nights, many birds can navigate by using the earth’s magnetic field to fix the north-south direction.)