While traveling from one station to another, a car travels $75 k m$ north $60 k m$ northeast and $20 k m$ east. The total displacement is

72 k m

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112 k m

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133 k m

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155 k m

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Solution

The correct option is C $133 k m$
Displacement towards east $= 60 cos 45^{o} + 20 = 62.43$
& towards north $= 60 sin 45^{o} + 75 = 117.43$
Displacement
$= \sqrt{{(62.43)}^{2} + {(117.43)}^{2}} = 133$ km

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While traveling from one station to another, a car travels 75km north 60km northeast and 20km east. The total displacement is

The correct option is C 133kmDisplacement towards east =60cos45o+20=62.43 & towards north =60sin45o+75=117.43Displacement =√(62.43)2+(117.43)2=133 km

While traveling from one station to another, a car travels $75 k m$ north $60 k m$ northeast and $20 k m$ east. The total displacement is

The correct option is C $133 k m$
Displacement towards east $= 60 cos 45^{o} + 20 = 62.43$
& towards north $= 60 sin 45^{o} + 75 = 117.43$
Displacement
$= \sqrt{{(62.43)}^{2} + {(117.43)}^{2}} = 133$ km