Nishit K Sinha Solutions for Chapter: Directions Decision Making, Exercise 1: Practice Exercises

I am facing East. I turn $100°$ in the clockwise direction and then$145°$ in the anti-clockwise direction. Which direction am I facing now?

Amit walks $10$ kilometers towards South. From there, he walks $6$ kilometers towards North, then, he walks $3$ kilometers towards his left. How far and in which direction is he with reference to his starting point?

Gaurav walks $20$ metres towards the North. He, then, turns left and walks $40$ metres. He again turns left and walks $20$ metres. Further, he moves $20$ metres after turning to the right. How far is he from his original position?

Rasik walks 20 m North. Then, he turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns left and walks 15 m. In which direction and how many metres away is he from his original position? 

Vikash walked $15 \mathrm{m}$ towards north from his home. Then he turned west and walked $10 \mathrm{m}$. Then he turned south and walked $5 \mathrm{m}$. Lastly, turning to east, he walked $10 \mathrm{m}$. In which direction is he from his house?

A man walks $1$ mile towards East and then he turns to South and walks $5$ miles. After that, he turns to East and walks $2$ miles further. Finally, he turns to his North and walks $9$ miles. How far is he from his starting point (in miles)?

There was a $4$-direction pole situated at a crossroadwith arrows pointing towards four directions East, West, South and North. Due to an accident that damaged the pole, east pointer is now towards South. Unfortunately, a man who wanted to go actually northwards took the help of this direction pole and started moving towards north as per the pole. Which direction is this man actually moving towards?

In the above question, if the north direction pointer starts showing south direction, then how many direction pointers are still showing the right direction?