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Direction Sighting Problems

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kumar

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27 - October - 2013

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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

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

**We can find the distance using the formula c=sqrt(a ^{2}+b^{2})**

= sqrt(4^{2}+3^{2})

= sqrt(16+9)

= sqrt(25)

= 5

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

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