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Rohit went 15km to the west from my house then turned left and walked 20km. he then turned east and walked 25km and finally turning left covered 20km. How far was he from his house?
- a)10km
- b)15km
- c)20km
- d)40km
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Rohit went 15km to the west from my house then turned left and walked ...
The movements of Rohit are as shown in fig.
∴ Rohit’s distance from his house at A
AE = (BE – BA)
= (CD – BA)
= (25 – 15) km = 10 km
∴ Rohit’s distance from his house at A
AE = (BE – BA)
= (CD – BA)
= (25 – 15) km = 10 km
This question is part of UPSC exam. View all Class 6 courses
Most Upvoted Answer
Rohit went 15km to the west from my house then turned left and walked ...
Rohit's Journey Explanation:
To find out how far Rohit is from his house, let's break down his journey step by step.
Starting Point: My House
Step 1: Rohit went 15km to the west from my house.
Step 2: Rohit turned left and walked 20km.
Step 3: Rohit turned east and walked 25km.
Step 4: Finally, Rohit turned left and covered 20km.
Finding the Distance from Rohit's House:
To determine how far Rohit is from his house, we need to consider his movements in different directions.
Horizontal Direction (West and East):
In step 1, Rohit walked 15km to the west. In step 3, he turned east and walked 25km. Since he walked 15km to the west and then 25km to the east, the net displacement in the horizontal direction is 25km - 15km = 10km to the east.
Vertical Direction (North and South):
In step 2, Rohit turned left and walked 20km. In step 4, he turned left again and covered 20km. Since he walked 20km in each direction, the net displacement in the vertical direction is 20km - 20km = 0km. This means there is no vertical displacement.
Final Displacement:
Considering the horizontal and vertical displacements, we can determine the final displacement using the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the horizontal displacement is 10km (east) and the vertical displacement is 0km. Therefore, the distance from Rohit's house is √(10km^2 + 0km^2) = √100km^2 = 10km.
Conclusion:
Hence, Rohit is 10km away from his house. Therefore, the correct answer is option A) 10km.
To find out how far Rohit is from his house, let's break down his journey step by step.
Starting Point: My House
Step 1: Rohit went 15km to the west from my house.
Step 2: Rohit turned left and walked 20km.
Step 3: Rohit turned east and walked 25km.
Step 4: Finally, Rohit turned left and covered 20km.
Finding the Distance from Rohit's House:
To determine how far Rohit is from his house, we need to consider his movements in different directions.
Horizontal Direction (West and East):
In step 1, Rohit walked 15km to the west. In step 3, he turned east and walked 25km. Since he walked 15km to the west and then 25km to the east, the net displacement in the horizontal direction is 25km - 15km = 10km to the east.
Vertical Direction (North and South):
In step 2, Rohit turned left and walked 20km. In step 4, he turned left again and covered 20km. Since he walked 20km in each direction, the net displacement in the vertical direction is 20km - 20km = 0km. This means there is no vertical displacement.
Final Displacement:
Considering the horizontal and vertical displacements, we can determine the final displacement using the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the horizontal displacement is 10km (east) and the vertical displacement is 0km. Therefore, the distance from Rohit's house is √(10km^2 + 0km^2) = √100km^2 = 10km.
Conclusion:
Hence, Rohit is 10km away from his house. Therefore, the correct answer is option A) 10km.
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Rohit went 15km to the west from my house then turned left and walked 20km. he then turned east and walked 25km and finally turning left covered 20km. How far was he from his house?a)10kmb)15kmc)20kmd)40kmCorrect answer is option 'A'. Can you explain this answer?
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