Where bearings are given, they are in degrees East of North (so North is 000, degrees,000β, East is 090, degrees,090β, South is 180, degrees,180βand West 270, degrees,270 β). For the purposes of this exercise, assume the Earth is flat.
a) In which direction would I have to travel in order to travel North (relative to a stationary observer) if I am swimming in a river with a current running 0, point, 40, m, s, to the power minus 1 ,0.40ms β1 to the East, and I can swim at 1, point, 5, m, s, to the power minus 1 ,1.5ms β1 relative to the water? Give your answer as a bearing (degrees clockwise from North) to 3 significant figures.
b) In which direction would I have to travel in order to travel North (relative to a stationary observer) if I am flying in a 15, k, m, h, to the power minus 1 ,15kmh β1 wind coming from the West and can fly at 90, k, m, h, to the power minus 1 ,90kmh β1 relative to the air? Give your answer as a bearing (degrees clockwise from North) to 3 significant figures.
c) How fast do I move Northwards over the ground in part (b)?
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Where bearings are given, they are in degrees East of North (so North is 000, degrees,000β, East is...
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