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Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these?
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Selva moves towards south-east a distance of 6m, then she moves toward...
To find the distance between the starting point and the final position of Selva, we need to analyze her movements step by step.
1. Moving south-east a distance of 6m:
When Selva moves south-east, she is essentially moving diagonally towards the bottom right direction. This means that she is traveling both towards the south and the east. Since the distance is 6m, we can split it into two components using the Pythagorean theorem.
The distance traveled towards the south = 6m * sin(45°) = 6m * √2/2 = 6√2/2 = 3√2m
The distance traveled towards the east = 6m * cos(45°) = 6m * √2/2 = 6√2/2 = 3√2m
2. Moving towards west a distance of 10m:
Selva moves towards the west, so her displacement towards the east reduces by 10m.
3. Moving towards north-west a distance of 6m:
When Selva moves towards the north-west, she is again moving diagonally, but this time towards the top left direction. This means that she is traveling both towards the north and the west. Since the distance is 6m, we can split it into two components using the Pythagorean theorem.
The distance traveled towards the north = 6m * sin(45°) = 6m * √2/2 = 6√2/2 = 3√2m
The distance traveled towards the west = 6m * cos(45°) = 6m * √2/2 = 6√2/2 = 3√2m
4. Moving towards east a distance of 2m:
Selva moves towards the east, so her displacement towards the west reduces by 2m.
Now, let's calculate the net displacement in the north-south and east-west directions.
Net displacement in the north-south direction = (3√2 - 3√2) = 0m
Net displacement in the east-west direction = (3√2 - 3√2 - 10 + 2) = -8m
Since the net displacement in the north-south direction is 0m, it means that Selva ended up at the same latitude as the starting point. Therefore, the distance between the starting point and the final position is equal to the absolute value of the net displacement in the east-west direction, which is |-8m| = 8m.
Hence, the distance between the starting point and where Selva stood is 8m. Therefore, the correct option is D) 8m.
1. Moving south-east a distance of 6m:
When Selva moves south-east, she is essentially moving diagonally towards the bottom right direction. This means that she is traveling both towards the south and the east. Since the distance is 6m, we can split it into two components using the Pythagorean theorem.
The distance traveled towards the south = 6m * sin(45°) = 6m * √2/2 = 6√2/2 = 3√2m
The distance traveled towards the east = 6m * cos(45°) = 6m * √2/2 = 6√2/2 = 3√2m
2. Moving towards west a distance of 10m:
Selva moves towards the west, so her displacement towards the east reduces by 10m.
3. Moving towards north-west a distance of 6m:
When Selva moves towards the north-west, she is again moving diagonally, but this time towards the top left direction. This means that she is traveling both towards the north and the west. Since the distance is 6m, we can split it into two components using the Pythagorean theorem.
The distance traveled towards the north = 6m * sin(45°) = 6m * √2/2 = 6√2/2 = 3√2m
The distance traveled towards the west = 6m * cos(45°) = 6m * √2/2 = 6√2/2 = 3√2m
4. Moving towards east a distance of 2m:
Selva moves towards the east, so her displacement towards the west reduces by 2m.
Now, let's calculate the net displacement in the north-south and east-west directions.
Net displacement in the north-south direction = (3√2 - 3√2) = 0m
Net displacement in the east-west direction = (3√2 - 3√2 - 10 + 2) = -8m
Since the net displacement in the north-south direction is 0m, it means that Selva ended up at the same latitude as the starting point. Therefore, the distance between the starting point and the final position is equal to the absolute value of the net displacement in the east-west direction, which is |-8m| = 8m.
Hence, the distance between the starting point and where Selva stood is 8m. Therefore, the correct option is D) 8m.
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Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these?
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Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these?.
Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these?.
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Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these?, a detailed solution for Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these? has been provided alongside types of Selva moves towards south-east a distance of 6m, then she moves towards west and travels a distance of 10m.From here, she moves towards north-west a distance of 6m and finally she moves a distance of 2m towards east and stood at that point. How far is the starting point from where she stood? A)7m B)12m C)6m D)8m E)None of these? theory, EduRev gives you an
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