In this chapter we are going to discuss the following topics with examples.

Introduction

Types of Problems

Examples

### Introduction

To solve these problems, the candidate should know the four main directions, four cardinal directions and shadow’s position at different times.

1. Four Main Directions – North(N), East(E), West(W), South(S)
1.       Angle between North and East is 90’(Clockwise)
2.       Angel between North and Southeast is 45’(Clockwise)
2. Four Cardinal Directions – North-East(NE), North-West(NW), South-East(SE), South-West(SW)

Morning (or) Sunrise (or) Dawn           –              WEST

Evening (or) Sunset (or) Dusk              –               EAST

### Types of Problems

1.     Facing Directions
2.     Distance Traveled

## I can't change the direction of the wind, but I can adjust my sails to always reach my destination.

Jimmy Dean

### Examples

1. A man is facing North. He turns 155’ in anti clock direction and then 200’ in clock wise direction. Which direction is he facing now?

a)South East          b)  South          c)North East           d) North

Explanation:

155’ (anticlockwise)- 200’ (clockwise) = 45’ (clockwise). He turns 45’ clockwise from North.

2. A man starts walking towards west. After walking 105 meter, he turns to the left and walks 55 meter straight . Again he turns to the left, walks a distance of 75 meters straight, again he turns to the left and walks a distance of 55 meters. How far is he from starting point?

a) 45 meter              b)75 meter             c) 30 meter             d) 180 meter

Explanation:

105 – 75 = 30 meter from starting point

3. A man walks 1 km towards west and then he turn to south and walk 5 km.Again he turn to west and walk 2 km,after this he turns to north and walk 9 km. How far is he from his starting point?

a) 17 km        b)7 km       c) 9 km        d)5 km

Use Pythagoras theorem :  Two sides (9-5=4) and (1+2=3)

√(42 +32) = √(16+9) = 5

4.One morning after sunrise Ram while going to school met Raj at road crossing. Raj’s shadow was exactly to the right of Ram. If they were face to face, which direction was Ram facing?

a) South        b) North             c)East           d) West

In morning the shadow falls towards the west. Raj’s shadow falls to the right of the Ram. So Ram is facing South.

Thus in this post we have learned about the concepts of mirror image and water image. And also we have learned shortcut technique to solve mirror and water image based problem with examples.

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