Problem: 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.At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?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 earths magnetic field to fix the north-south direction.)

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Problem Details

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.

At what angle relative to the north-south direction should this bird head to travel directly southward relative to the ground?

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 earths magnetic field to fix the north-south direction.)

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