Question

A person travels $12km$ in the southward direction and then travels $5km$ to the right and then travels $15km$ toward the right and finally travels $5km$ towards the east, how far is he from his starting place?

• A. $5.5kms$
• B. $3km$
• C. $13km$
• D. $6.4km$

Answer 1

The correct option is B $3km$

REF.Image

$\overrightarrow{OA}=12km$

$\overrightarrow{AB}=5km$

$\overrightarrow{BC}=15km$

$\overrightarrow{CD}=5km$

To find $\overrightarrow{OD}=?$

after moving from $\overline{O}$ to $\overline{A},\overline{B},\overline{C},\overline{D}$ (along these directions)

He reads north of stating point i.e. O.

$\therefore \overline{OD}$ is southwards (3 km) from D or

or $\overline{OD}$ is northwards (3 km) from O

Option B is correct