1.DIRECTION SENSE TEST

● There are four main directions: North (N), East (E), West (W), South(S)

● There are Four Cardinal Directions as shown in the diagram:

North-East (NE), North-West (NW), South-East (SE), South-West (SW)

● Angle between North and East is 90’(Clockwise)

● Angle between North and Northeast is 45’(Clockwise)

● Shadow’s position:

Morning (or) Sunrise (or) Dawn - WEST

Evening (or) Sunset (or) Dusk - EAST

Noon - No Shadow

Some Important Points:

1. At the time of sunrise if a man stands facing the east, his shadow will be towards west.

2. At the time of sunset the shadow of an object is always in the east.

If a man stands facing the North, at the time of sunrise his shadow will be towards his left and

at the time of sunset it will be towards his right.

4. At 12:00 noon, the rays of the sun are vertically downward hence there will be no shadow.

Types of Problems:

● Facing Directions

● Distance Travelled

● Shadow Based Problem

1). A man goes 3 kms. East from point A and then takes a right turn from point B

to move 4 kms. to point C. What is the minimum distance between point A and

point C?

Solution:

In order to find the minimum distance between these points, we use a little bit of

geometry. We know that the minimum distance between these points will lie along the

hypotenuse of the right-angled triangle formed by these points.

Now applying Pythagoras theorem, the distance between the starting point A and final

point C is 5 kms i.e. the square root of the sum of squares of 3 and 4.

An important point to learn from this question could be the fact that you might be asked

to specify the direction of the specific point, for example, the question might state: "in

which direction is he with respect to the starting point". The answer would be

South-east.

Now, in case the question was: "In which direction is the starting point with respect to

C"; the answer would be North-west.

Another question could be: "In which direction is he walking towards point C"; the

answer would be South.

While calculating the distance from a starting point to the destination point when the

points form a right-angled triangle, the prior knowledge of Pythagorean Triplets (3-4-5,

5-12-13, 8-15-17 etc.) is generally very helpful in calculating the distances involved as it

saves time spent on calculations.

2). A child is looking for his father. He went 90 metres in the East before turning

to his right. He went 20 meters before turning to his right again to look for his

father at his uncle’s place 30 metres from this point. His father was not there.

From here he went 100 metres to the North before meeting his father in a street.

What is the smallest distance between the starting point and his father’s

position?

Solution:

The movement of the child from A to E is as shown in fig.

Clearly, the child meets his father at E.

Now, AF = (AB - FB)

= (AB - DC) = (90 - 30) m = 60 m.

EF = (DE - DF) = (DE - BC)

= (100 - 20) m = 80 m.

Now the distance is square root of (602 + 802), which will be 100 metres.

3).Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then

he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns

left and walks 15 m. In which direction and how many metres is he from the

starting position?

Solution:

Required distance = AF

= 30 + 15

= 45m,

From the above diagram, F is in East direction from A.

4).Two cars start from the opposite places of a main road, 150 km apart. First car

runs for 25 km and takes a right turn and then runs 15 km. It then turns left and

then runs for another 25 km and then takes the direction back to reach the main

road. In the mean time, due to minor break down the other car has run only 35 km

along the main road. What would be the distance between two cars at this point?

Solution:

Required distance = DF

= 150-(25 + 25 + 35)

= 150 - 85

= 65 km.

5).Golu started from his house towards North. After covering a distance of 8 km. he

turned towards left and covered a distance of 6 km. What is the shortest distance now

from his house?

Solution:

Required distance = AC

Direction [ Formulas + Notes ]

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This Course is Only Available On Our App

CDAC CCAT Study Materials

The one-stop destination for everything you need for CDAC CCAT Exam Preparations

Direction [ Formulas + Notes ]

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