हिंदी

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be: (Given cos135° = - 0.7) -

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प्रश्न

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be: (Given cos135° = - 0.7)

विकल्प

  • 42 m

  • 47 m

  • 19 m

  • 40 m

MCQ

उत्तर

47 m

Explanation:

From ΔAOB

`"AB"/(sin135)="OB"/(sin 22.5)`

AB = `sin 135/sin22.5"OB"`

= `(sin(135))/(sin(22.5)) ("arc"("AB"))/((3pi)/4)`

= `(sin(45))/(sin(22.5))xx(60xx4)/(3pi)`

= 47 m

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