Distance Questions

Starting from a point, Karan moves $6\text{km}$ in one direction and then $8\text{km}$ at a right angle to his initial path. What is the direct distance between his starting point and his final position?

Lihaan walks $8\text{m}$ towards South from his office to reach the park. Then he takes a left turn and walks $15\text{m}$ to reach a traffic signal. Then he turns $90^{\circ }$ in an anti-clockwise direction and walks $8\text{m}$ to reach a coffee shop. He takes a left turn and walks $8\text{m}$ to reach home. The office is in which direction with respect to Lihaan's home?