SOLUTION: a motorist travels directly north for 40 km then turns to the west and goes 20km. how far is she from the starting point and in what direction? give the angle with respect to east.
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Question 788943: a motorist travels directly north for 40 km then turns to the west and goes 20km. how far is she from the starting point and in what direction? give the angle with respect to east.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a motorist travels directly north for 40 km then turns to the west and goes 20km. how far is she from the starting point and in what direction? give the angle with respect to east.
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She starts at (0,0)
She ends up at (-20,40)
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How far ?:: sqrt[20^2 +40^2] = sqrt[400+1600] = sqrt(2000) = 20sqrt(5) km
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Angle ??:: tan^-1(40/-20) = tan^-1(-2) = 180-63.43 = 116.57 degrees
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Cheers,
Stan H.
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