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Title : Direction Sighting Problems
Published By : kumar
Posted on: 27 - October - 2013
Edited on: 27 - October - 2013
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Direction Sighting Problems

First thing in direction is to remember the four directions and it’s adjacent sides.

Four primary directions are

  • North
  • South
  • East
  • West

Adjacent sides are

  • North-east
  • South-east
  • North-west
  • South-west

Exercise 1:

Raju travels 5 km to north. Then he turns to the west and walks 3 km. Then again he turns to his south and moves 9km forward. How many km away is he from the starting point.

 

Let begin with starting point

 

Next he travel 5 km to North direction

Then he turns to West direction and moves 3 kms

Again he turns to South direction and moves 9 kms

Now we want to calculate the distance between current place where he was and the starting point (mentioned in red line).

We can find the distance of two moves by taking previous known values.

Mark 3 km for horizontal distance and mark 5 km for vertical distance. Now we can find a value as 9km (total distance) -  5 km (Known value) => a=5 and b=3

Now remove all other points and that forms a right angle triangle.

We can find the distance using the formula c=sqrt(a2+b2)

= sqrt(42+32)

= sqrt(16+9)

= sqrt(25)

= 5

Answer: So total distance travelled from starting point was 5 kms

 

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