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Questions and Answers
What is the direction of B from A?
West
East + 135° anticlockwise is equal to South-East.
True
AB = _____ meters.
40
At what distance is 'He' from point A?
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Match the following areas with their directions:
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What is the distance between points E and D?
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The left of South is East.
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At 4:30, what is the actual position of the hour hand?
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At 4:30, what is the actual position of the minute hand?
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Is the minute-hand pointing South at 6:00?
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What is the actual position of the minute-hand at 9:15?
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In which direction is Sudhir from his starting point, given Guriya's movements?
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In which direction was Guriya facing after making her movements?
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In which direction is Sam's house in relation to Bhalu's house?
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Arun is __ meter away from the starting point after his movements.
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In which direction is Raju from Sam's house?
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Which statement is definitely true regarding the given scenario?
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In which direction is M from K?
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In which direction was Ashok from the starting point?
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How far is Shyam from the starting point?
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In which direction is Roy from the starting point?
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In which direction is Vimal now from his starting point?
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How far is Q now from the starting point?
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In which direction is Tom from where he started?
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How far was Amit from the starting point?
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How far is Seema from her starting point?
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How far is Navin from his starting point?
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In which direction is Shailesh from the starting point?
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How far was Mukesh from his starting point?
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In which direction is Seema from her hiding place?
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Which direction is the man facing now?
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How far did the man meet his friend from the starting point?
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Which direction is the rat facing now?
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Study Notes
Direction and Distance
- Ashok walked 8 km south, then 3 km west, then 5 km north, and finally 3 km east. He is east from the starting point.
- Shyam walked 6 meters east, then 9 meters right, then 6 meters left, and finally 9 meters right. He is 15 meters from the starting point.
- Sachin walked 20 meters south, then 30 meters left, then 20 meters left, and finally 40 meters left. Point P is 10 meters east from point Q.
- Roy walked 2 km east, then 3 km northwest, then 5 km south, then 2 km west, and finally 6 km north. He is northwest from the starting point.
- Vimal walked 25 meters north, then 30 meters left, then 25 meters right, and finally 55 meters right. He is northwest from the starting point.
- Q walked 20 meters west, then 20 meters left, then 20 meters left, and finally 20 meters right. He is 40 meters from the starting point.
- Tom walked 10 miles east, then 5 miles right, and finally 5 miles right. Point P is south-east from where Tom is standing.
- Amit walked 10 km north, then 6 km south, and finally 3 km east. He is 7 km from the starting point.
- Seema walked 1 km east, then 1 km right, then 2 km left, and finally 5 km left. She is 8 km from the starting point.
- Navin walked 30 meters east, then 20 meters right, then 30 meters right. He is 50 meters from the starting point.
... (rest of the text will be summarized in the next response)### Directions and Distances
- AD² = AC² + CD² is the formula for finding the distance between two points.
- The formula is used to find the distance between two points in various scenarios, such as finding the distance between a starting point and an ending point, or finding the distance between two points in a right-angled triangle.
Scenarios
- A person is 5 km away from a starting point, and the direction from the starting point is North-West.
- A person is 5 km away from a starting point, and the direction from the starting point is South-East.
- A person walks 3 km north, then 4 km east, and then 1 km south. The direction from the starting point is North-West.
- In a right-angled triangle, AC = 1 km, BC = 4 km, and AB² = AC² + BC². The distance between A and B is 5 km.
- A person walks 20 m east, then 40 m south, and then 20 m west. The direction from the starting point is South-East.
- A person walks 10 m north, then 20 m west, and then 10 m south. The direction from the starting point is West.
Initial Directions
- Initial direction can be North, South, East, or West.
- A turn to the left or right can change the direction from North, South, East, or West.
Conversions
- North + 135° anticlockwise = West
- West + 135° anticlockwise = South-East
- East + 90° clockwise = South
- North + 90° clockwise = East
- North + 45° anticlockwise = North-West
- East + 45° anticlockwise = North-East
Clock Directions
- At 12:00, the hour hand is at North.
- At 2:45, the hour hand is at East.
- At 4:30, the hour hand is at South-East.
- At 12:30, the minute hand is at South.
Miscellaneous
- In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- The direction of a point from another point can be North, South, East, West, North-East, North-West, South-East, or South-West.
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Description
Solve problems involving direction and distance. Calculate the final position and distance from the starting point.
