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Sonali walks 20 m North. Then she turns ...

Sonali walks 20 m North. Then she turns right and walks 30 m. Then again turns right and walks 35 m. In which direction and how metres away is she from her original position?

A

15m,West

B

`15sqrt(5)m`, South-East

C

`15sqrt(5)`m, South -West

D

`15sqrt(3)m`, South -East

Text Solution

Verified by Experts

The correct Answer is:
B
`AE^(2)=DE^(2)+AD^(2)`
`impliesAE^(2)=(35-20)^(2)+(30)^(2)`
`impliesAE^(2)=(15)^(2)+(30)^(2)`
`impliesAE^(2)=(15)^(2)+(30)^(@)`
`impliesAE=sqrt(225+900)=sqrt(1125)=15sqrt(5)m`
So she is `15sqrt(5)`m away and in the South East direction from the original position.
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