**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**

So answer is 10 meters west ( see table for the reason)

**a) Same direction**

**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.

**Q.A person is walking towards south for 50 meters. Later he look left and walks30 m.Again he took left and walks 80m. later in the journey he took right and walks for 10 meters finally he moves to his left and walks 30m and again takes 30m to his left.**

(i) His final direction? Ans:West

(ii) How far is he from his starting point and in which direction?

To be continued….