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The distance from a particular point after traveling a distance of X meters in the horizontal direction and a distance of Y meters in the vertical direction is equal to X

^{2}+y^{2 }(Please note that in common usage,**north-south direction is referred to as "vertical" direction**and**east-west direction is referred to as "horizontal direction**.
To solve these types of problems, the student should know the directions properly - without any confusion. The following diagram shows all the directions and the student should memorize the diagram.

If you have problems in remembering the above diagram then just remember the word NEWS and a reverse S. Of course, this S is not like your Normal S. Its kinda kiddish. Have a look at the below figure.

Start with N (for North) and move to E, W and finally S. Mark the corner of North and East as North-East, South and East as South-East and so on... Well, you have your own diagram now :P

Now lets have discuss this topic with some examples. So that you can easily understand what exactly is Direction Sense and how to solve the problems.

**1**. A person travels towards east from his house and travels a distance of 3 meters; he then travels a distance of 7 meters south wards and then travels towards east a distance of 3 meters and finally travels southwards a distance of 10 meters. What is his vertical distance from his house?

**Solution :**

The distance traveled by him is equal, to

**10 + 7 = 17m.**Have a look at the below figure for detailed understanding.**2. A person starts from his house and travels 5 meters towards east, then travels 6 metres towards right, then travels 8 meters towards east and travels 2 meters towards south after that. Finally he turns right and travels 7 meters. What is the total distance he has traveled from his house in the north-south direction?**

**Sol :**The distance he traveled from his house in north-south direction is equal to 6 + 2 = 8 Meters.

**3. A person travels 7 meters towards east, then he turns right and travels 2 meters; then travels 5 meters towards left and then proceeds 2 meters northwards and finally travels 2 meters westwards. How far is he from his house in the vertical direction?**

**Sol :**The distance covered by the person in the north-south direction from his house is equal to 2-2 = 0 meters (Here please keep in mind that he has actually traveled 2+2 = 4 meters in the north-south direction but, of that distance, since 2m is towards north and 2m towards south, effectively, he is 0m away from his house in the north-south direction).

**4. Starting from one location, a person travels a distance of 5 meters southwards, then travels a distance of 7 meters leftwards, then travels 5 meters northwards and finally travels 6 meters eastward to reach a new location. What is the distance he travelled from his previous location?**

**Sol :**The distance traveled by

**vertically is 5-5 = 0 meters and the distance travelled horizontally is equal to 7+6 = 13m. Therefore, the distance travelled from his original location is also equal to 13m.**

**5. A person starts from his house and goes 2 meters towards east, then turns towards right and goes 25 meters and again goes towards east traveling 15 meters and then turns left and travels for 18 meters. He then goes towards east and travels 7 meters. How far is he from his house?**

**Sol :**If we represent the path covered by him in a diagram, it will appear as follows.

The total distance travelled horizontally is equal to 2+15+7 = 24 metres and the total distance travelled vertically is 25-18 = 7 metres.

So, the total distance travelled will be equal to root (24

^{2}+ 7

^{2 }) = 25m

That's all for now friends. We shall discuss some more practice exercises on Directions in our next post.All the best and happy reading :)

**Read more Shortcuts of Verbal Reasoning Here**

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ReplyDeleteMadam in the fourth example u have subtracted the vertical values because of opposite direction or any other reason. if it is so, please post this info at the bottom of the example or in the synopsis as a note. Thank you

ReplyDeleteFor the same reason Kishore. In these type of questions better make a rough sketch as we mentioned above so that it will be easier for you to understand the pattern and avoid confusion.

DeleteIn the above example the person walked forward for 5 meters and turned left and walked some distance and again walked backward for 5 meters... So we cancelled both 5 meters.

We will try to upload a diagram for this to make the point clear.

All the best :)

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Vivek

am so confused 5th question ans can you plz explain that in another way.

ReplyDeleteEarlier said root of( verticaldistance sqauare + horizontaldistance square)= total distance

DeleteRoot of (vertical distance square + horizontal distance square) = total distance

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ReplyDeleteWhat if in any question vertical or horizontal is not mentioned and the question demands.. calculate the distance from his previous location..

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