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# Formulas For Directional Senses

Here , In this Page Formulas for Directional Sense are dIscussed, so that approaching towards those questions becomes easy for you .

Directional sense is an important cognitive ability that allows individuals to navigate and comprehend their surroundings effectively, which is essential for tasks ranging from basic wayfinding to complex navigation.

### Important Facts about Directional Sense

Let us assume the front direction as North, back side as, South, Left side as Westside and right side as Eastside.

- We also know that, in Eastside, the sun rises and in Westside it sets. If we look to the sun, then our front is in the Eastside and our backside is in the Westside.
- Correspondingly, our left will be in Northside and our right is in Southside.
**For solving these problems the foremost thing we need to remember is that every change in the direction of main side changes a 90 degree change.**- For instance if a person moves from North side to Westside/Eastside there will be change in 90°. However the change among South and South east side or North and North-east will be 45° only.
- For solving these types of problems, we presumed all these distances among the specified points and along with straight lines.
**Pythagoras theorem concept is used to solve the problems like this**.

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### Concept of Pythagoras Theorem

It is a vital relation in Euclidean geometry between the 3 sides of a right triangle. It states that the sum of the squares of the other two sides is equal to the square of the hypotenuse( the side conflicting the right angle).

By Applying Pythagoras Theorem

hypotenuse^{2} = Altitude^{2} + Base^{2}

In given Figure C is length of hypotenuse , A is base and B is Altitude.

C^{2} = A^{2} + B^{2}

By applying the mentioned formula the directional problems can be solved easily.

These will be helpfull to Solve Many Problems of Directional Senses.

### Examples

**Question 1**: One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal’s shadow was exactly to the left of Udai, which direction was Udai facing?

**Options**

A East

B West

C North

D South

**Solution : **North

**Question 2**: If Rajesh is facing west, and turn 90 degrees to his right which direction will be he facing?

**Options**

A East

B North

C South

D West

** Solution : **North

**Question 3**: If you’re standing at point A which is in South and you want to go to point B, which direction should you move if point B is to the right of point A?

**Options**

A East

B West

C North

D south

**Solution:** East

**Question 4**: Ravi went to a park, and walked 25km towards North, then he turned right and walked 30 m , then he turned right and walked 35 m the he turned left and and walked 15 km and finally turns left and walks 15 km. In which direction and how many meters is he from the starting position?

** Options**

A 15 m West

B 30 m East

C 30 m West

D 45 m East

** Solution** 45m East

**Question 5:** Walking 15m North, Rahul turned towards right and walked for 30 m , then again turned left and walked 45 m and finally turned right . In which direction is he moving from his starting position?

Options

A West

B East

C North

D South

**Solution **East

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