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Vector calculation of a plane

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January 19th, 2023

A plane leaves the airport in Galisto and flies a distance 170 km at an angle 68.0 degree east of north and then changes direction to fly a distance 270 km at an angle 48.0 degree south of east, after which it makes an immediate emergency landing in a pasture.

When the airport sends out a rescue crew, how far should this crew fly to go directly to this plane?

In which direction? (Express your answer as an angle measured south of east)

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