$A$ man walks $1 \, km$ towards East and then he turns to South and walks $5 \, km.$ Again he turns to East and walks $2 \, km,$ after this he turns to North and walks $9 \, km.$ Now,how far is he from his starting point? (in $\, km$)

Sachin and Vinod want to visit the museum after their exams. Sachin's exams finish on $9^{th}$ April and he is leaving for a holiday on $12^{th}$ April. Vinod's exams will be over by $10^{th}$ April,after which he is free. On which of the following dates can the two definitely meet?

Sudheesh walked $10 \, m$ towards south. He turned left and walked $20 \, m$ and then moved to his right. Then he turned right and walked $20 \, m$. Finally he turned right and moved a distance of $10 \, m$. How far and in which direction is he from the starting point?

Pravin walked $30 \, m$ towards East,took a right turn and walked $20 \, m$,again took a right turn and walked $30 \, m$. How far was he from the starting point? (in $m$)

$A$ 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 $m$)

$A$ walks $10 \, m$ in front and $10 \, m$ to the right. Then,every time turning to his left,he walks $5, 15, \text{ and } 15 \, m$ respectively. How far is he now from his starting point? (in $m$)