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Emergency Landing. A plane leaves the airport in Galisteo

Chapter 1, Problem 68P

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QUESTION:

Emergency Landing. A plane leaves the airport in Galisteo and files 170 km at 68° east of north and then changes direction to fly 230 km at 48° south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?

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QUESTION:

Emergency Landing. A plane leaves the airport in Galisteo and files 170 km at 68° east of north and then changes direction to fly 230 km at 48° south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?

ANSWER:

Solution 68P Step 1 of 5: First we shall draw the displacement vectors, First displacement is 170 km at 68° east of north , Component of A along x and y direction, Ax=170 cos(68 ) =63.7 km Ay=170 sin(68 ) =157.8 km

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