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Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?
- a)400 √5m
- b)800m
- c)200 √10m
- d)200 √2m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Ayush starts from his house and moves towards South. He walks 100m, th...
We can solve this problem using the Pythagorean theorem.
First, let's break down Ayush's movements:
1. He walks 100m south.
2. He turns left (which means he is now facing east) and walks 200m.
3. He turns right (which means he is now facing south again) and walks 500m.
Now, let's determine his horizontal (east-west) and vertical (north-south) displacements.
Horizontal displacement:
Ayush only moved horizontally during step 2, where he walked 200m east. Therefore, his total horizontal displacement is 200m.
Vertical displacement:
Ayush moved vertically during steps 1 and 3. In step 1, he walked 100m south, and in step 3, he walked 500m south. Therefore, his total vertical displacement is 100m + 500m = 600m.
Now we can use the Pythagorean theorem to calculate the distance between his starting point (his house) and his final position:
Distance = √(horizontal displacement^2 + vertical displacement^2)
Distance = √(200m^2 + 600m^2)
Distance = √(40,000m^2 + 360,000m^2)
Distance = √(400,000m^2)
Distance = 200√10m
So the correct answer is 3 (200√10m).
First, let's break down Ayush's movements:
1. He walks 100m south.
2. He turns left (which means he is now facing east) and walks 200m.
3. He turns right (which means he is now facing south again) and walks 500m.
Now, let's determine his horizontal (east-west) and vertical (north-south) displacements.
Horizontal displacement:
Ayush only moved horizontally during step 2, where he walked 200m east. Therefore, his total horizontal displacement is 200m.
Vertical displacement:
Ayush moved vertically during steps 1 and 3. In step 1, he walked 100m south, and in step 3, he walked 500m south. Therefore, his total vertical displacement is 100m + 500m = 600m.
Now we can use the Pythagorean theorem to calculate the distance between his starting point (his house) and his final position:
Distance = √(horizontal displacement^2 + vertical displacement^2)
Distance = √(200m^2 + 600m^2)
Distance = √(40,000m^2 + 360,000m^2)
Distance = √(400,000m^2)
Distance = 200√10m
So the correct answer is 3 (200√10m).
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Ayush starts from his house and moves towards South. He walks 100m, th...
M
b)500m
c)600m
d)700m
Answer: c) 600m
Explanation:
Let's assume Ayush's house as point A.
After walking 100m towards South, Ayush reaches point B.
Then he turns left and walks 200m, reaching point C.
From point C, he turns right and walks 500m, reaching point D.
Now, if we draw a straight line from point D to point A, we can see that it forms a right-angled triangle with sides of 200m and 500m.
Using the Pythagorean theorem, we can find the length of the hypotenuse (the distance between Ayush's current location and his house):
Hypotenuse = √(200² + 500²)
Hypotenuse = √(40000 + 250000)
Hypotenuse = √290000
Hypotenuse = 538.516
Therefore, Ayush is approximately 538.516m away from his house.
b)500m
c)600m
d)700m
Answer: c) 600m
Explanation:
Let's assume Ayush's house as point A.
After walking 100m towards South, Ayush reaches point B.
Then he turns left and walks 200m, reaching point C.
From point C, he turns right and walks 500m, reaching point D.
Now, if we draw a straight line from point D to point A, we can see that it forms a right-angled triangle with sides of 200m and 500m.
Using the Pythagorean theorem, we can find the length of the hypotenuse (the distance between Ayush's current location and his house):
Hypotenuse = √(200² + 500²)
Hypotenuse = √(40000 + 250000)
Hypotenuse = √290000
Hypotenuse = 538.516
Therefore, Ayush is approximately 538.516m away from his house.
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Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer?.
Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer?.
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Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Ayush starts from his house and moves towards South. He walks 100m, then turns left and walks 200m, turns right and walks 500m. How far is he from his house?a)400 √5m b)800mc)200 √10m d)200 √2mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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