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Starting from his house Arun moves 5 km to the north east and then 4 km towards south He now moves 3 km towards east and then move 8 km towards north to reach his friend’s hourse. Then his friend’s house is
- a)5 km north-east of Arun’s house
- b)10 km south-east of Arun’s house
- c)10 km north-east of Arun’s house
- d)10 km north-west of Arun’s house
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Starting from his house Arun moves 5 km to the north east and then 4 k...
The total distance of his friend's house from his house is 10 kilometers north-east. This can be obtained by using Pythagoras theorem where the distance is the sum of the squared distance of 3 and 4 which is 5 kilometers.
Most Upvoted Answer
Starting from his house Arun moves 5 km to the north east and then 4 k...
To visualize Arun's movements, we can use a coordinate system. Let's assume Arun's house is located at the origin (0,0).
1) Arun moves 5 km to the northeast. This means he travels 5 km in a direction that is 45 degrees northeast of the positive x-axis. Using trigonometry, we can calculate the x and y coordinates of his position after this movement.
x-coordinate = 5 km * cos(45°) = 5 km * 0.707 = 3.535 km
y-coordinate = 5 km * sin(45°) = 5 km * 0.707 = 3.535 km
So after this movement, Arun's position is (3.535, 3.535).
2) Arun then moves 4 km towards the south. This means he travels 4 km in the negative y-axis direction.
x-coordinate remains the same: 3.535 km
y-coordinate = 3.535 km - 4 km = -0.465 km
So after this movement, Arun's position is (3.535, -0.465).
3) Arun moves 3 km towards the east. This means he travels 3 km in the positive x-axis direction.
x-coordinate = 3.535 km + 3 km = 6.535 km
y-coordinate remains the same: -0.465 km
So after this movement, Arun's position is (6.535, -0.465).
4) Arun finally moves 8 km towards the north. This means he travels 8 km in the positive y-axis direction.
x-coordinate remains the same: 6.535 km
y-coordinate = -0.465 km + 8 km = 7.535 km
So after this movement, Arun's position is (6.535, 7.535).
Therefore, Arun reaches his friend's house, located at (6.535, 7.535).
1) Arun moves 5 km to the northeast. This means he travels 5 km in a direction that is 45 degrees northeast of the positive x-axis. Using trigonometry, we can calculate the x and y coordinates of his position after this movement.
x-coordinate = 5 km * cos(45°) = 5 km * 0.707 = 3.535 km
y-coordinate = 5 km * sin(45°) = 5 km * 0.707 = 3.535 km
So after this movement, Arun's position is (3.535, 3.535).
2) Arun then moves 4 km towards the south. This means he travels 4 km in the negative y-axis direction.
x-coordinate remains the same: 3.535 km
y-coordinate = 3.535 km - 4 km = -0.465 km
So after this movement, Arun's position is (3.535, -0.465).
3) Arun moves 3 km towards the east. This means he travels 3 km in the positive x-axis direction.
x-coordinate = 3.535 km + 3 km = 6.535 km
y-coordinate remains the same: -0.465 km
So after this movement, Arun's position is (6.535, -0.465).
4) Arun finally moves 8 km towards the north. This means he travels 8 km in the positive y-axis direction.
x-coordinate remains the same: 6.535 km
y-coordinate = -0.465 km + 8 km = 7.535 km
So after this movement, Arun's position is (6.535, 7.535).
Therefore, Arun reaches his friend's house, located at (6.535, 7.535).
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Starting from his house Arun moves 5 km to the north east and then 4 km towards south He now moves 3 km towards east and then move 8 km towards north to reach his friend’s hourse. Then his friend’s house isa)5 km north-east of Arun’s houseb)10 km south-east of Arun’s housec)10 km north-east of Arun’s housed)10 km north-west of Arun’s houseCorrect answer is option 'C'. Can you explain this answer?
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Starting from his house Arun moves 5 km to the north east and then 4 km towards south He now moves 3 km towards east and then move 8 km towards north to reach his friend’s hourse. Then his friend’s house isa)5 km north-east of Arun’s houseb)10 km south-east of Arun’s housec)10 km north-east of Arun’s housed)10 km north-west of Arun’s houseCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Starting from his house Arun moves 5 km to the north east and then 4 km towards south He now moves 3 km towards east and then move 8 km towards north to reach his friend’s hourse. Then his friend’s house isa)5 km north-east of Arun’s houseb)10 km south-east of Arun’s housec)10 km north-east of Arun’s housed)10 km north-west of Arun’s houseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Starting from his house Arun moves 5 km to the north east and then 4 km towards south He now moves 3 km towards east and then move 8 km towards north to reach his friend’s hourse. Then his friend’s house isa)5 km north-east of Arun’s houseb)10 km south-east of Arun’s housec)10 km north-east of Arun’s housed)10 km north-west of Arun’s houseCorrect answer is option 'C'. Can you explain this answer?.
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