DIRECTION CONCEPTS- A

DIRECTION CONCEPTS AND SHORT CUTS

Note:
1)There are 8 directions in all i.e. N, S, E, W, NE, SE, SW, NW
2)Angle between 2 crosses i.e. NW & NE or N and E etc is 90*
3)Angle between direction and a cross is 45* i.e. between N & NE or E and SE, etc.


Main Questions that are asked:
1)Find the Final Direction
2)Starting  point direction with respect to the ending point
3)Ending point direction with respect to starting point

Example 1.
A Person is walking towards east 5 meters then he turned towards his right and walks 10 meters. Later in the journey he turned towards his right direction and walks for 15 meters finally he turns right and walks 10 meters.

(i)What is his final direction?-ans:North

(ii)How far is he from his starting point and in which direction?- ans: 10 meters-west

(iii)In which direction is his starting point from ending point?-ans: East

SHORT CUT METHOD:

Steps

1)The 1st line in the question says that person walks 5m east so write 5m under the east column.

2)The 2nd line says that he turns right and walks 10m since he is facing east so his right would be ‘SOUTH’ direction therefore he walks 10m south so write 10m under the south column.

3)The 3rd line says that he turns right again and walks 15m so right of south is west so write 15m under west column

4)Further the question says that he finally turns right and walks 10m so right of west direction is north so write 10m under north column.
So answer is 10 meters west ( see table for the reason)

5 )LOGIC behind the short cut

 a) Same direction

   Ex.North

      10 m

      10 m = 20m

   Then it gets added

b) Opposite direction

3) Opposite direction

Note for step 3 : for point three take the direction asthe bigger one this becomes the starting point direction with respect to ending point therefore the ending direction with respect  to starting point is east.

6)Drawback though this is the fastest way of solving a direction without using a diagram. But we cannot find the ending   direction with this step.