Arun moved a distance of $75 \, m$ towards north. He then turned to the left and walked for about $25 \, m$,turned left again and walked $80 \, m$. Finally,he turned to the right at an angle of $45^{\circ}$. In which direction was he moving finally?

From the positions in the original figure,$A$ and $C$ move diagonally to opposite corners and then one side each clockwise and anticlockwise respectively. $D$ and $B$ move two sides each clockwise and anticlockwise respectively. Where is $A$ now?

Sumesh went $15 \, km$ to the north from his house. Then he turned west and covered $10 \, km$. Then he turned south and covered $5 \, km$. Finally,he turned to the east and covered $10 \, km$. In which direction is he from his house?

$A$ girl leaves from her home. She first walks $30 \, m$ in the North-west direction and then $30 \, m$ in the South-west direction. Next,she walks $30 \, m$ in the South-east direction. Finally,she turns towards her house. In which direction is she moving?

$A$ man leaves for his office from his house. He walks towards East. After moving a distance of $20 \,m,$ he turns towards South and walks $10 \,m.$ Then he walks $35 \,m$ towards the West and further $5 \,m$ towards the North. He then turns towards East and walks $15 \,m.$ What is the straight distance in metres between his initial and final positions?

Kunal walks $10 \,km$ towards North. From there he walks $6 \,km$ towards South. Then,he walks $3 \,km$ towards East. How far and in which direction is he with reference to his starting point?