$A$ man walks $6 \, km$ to the east and then turns to the south and walks $5 \, km$. Again he turns to the east and walks $6 \, km$. Next,he turns towards north and walks $10 \, km$. How far is he now from his starting point (in $, km$)?

One morning after sunrise,Vikram and Shailesh were standing in a lawn with their backs towards each other. Vikram's shadow fell exactly towards his left-hand side. Which direction was Shailesh facing?

$A$ child is looking for his father. He went $90 \, m$ in the east before turning to his right. He went $20 \, m$ before turning to his right again to look for his father at his uncle's place $30 \, m$ from this point. His father was not there. From there,he went $100 \, m$ to his north before meeting his father in a street. How far did the son meet his father from the starting point? (in $m$)

$A$ is $40 \, m$ South-west of $B.$ $C$ is $40 \, m$ South-east of $B.$ Then,$C$ is in which direction of $A$?

$A$ clock gaining $2 \, \text{minutes}$ every hour was synchronized at midnight with a clock losing $1 \, \text{minute}$ every hour. How many minutes behind will the second clock be at $11:00 \, \text{AM}$ the following morning compared to the clock gaining $2 \, \text{minutes}$ every hour?

Laxman went $15 \, km$ to the west from my house,then turned left and walked $20 \, km$. He then turned east and walked $25 \, km$ and finally turned left and covered $20 \, km$. How far was he from his house? (in $\, km$)