Question

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)

Options

• 42 m

• 47 m

• 19 m

• 40 m

Answer 1

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