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Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.
- a)West
- b)South - West
- c)East
- d)South – East
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Harish decided to drive from office to his home. He headed in east dir...
The path taken by Harish to drive from office to his home is shown in the figure.
Harish’s Home is clearly, in South – East Direction with respect to his office.
Harish’s Home is clearly, in South – East Direction with respect to his office.
Most Upvoted Answer
Harish decided to drive from office to his home. He headed in east dir...
Understanding Harish's Journey
To determine the direction of Harish's home relative to his office, we can break down his movements step by step.
Step 1: Initial Direction
- Harish drives 10 km east from his office.
Step 2: First Turn
- He then turns left (which means he is now facing north) and drives 5 km.
Step 3: Second Turn
- Next, he turns right at an angle of 135 degrees.
- Turning right from north (0 degrees), he will be facing east (90 degrees) and then turning an additional 45 degrees to reach southeast (135 degrees).
- He drives 20 km in this direction.
Mapping the Movements
1. From Office to 10 km East: He moves to point A (10, 0).
2. From Point A, 5 km North: He now moves to point B (10, 5).
3. From Point B, 20 km Southeast:
- Moving southeast for 20 km means he moves both in the east and south directions simultaneously.
- The coordinates change approximately to: (10 + 20 * cos(45°), 5 - 20 * sin(45°)), which is approximately (24.14, -10.14).
Final Calculation
To find the direction of Harish's home (point C) from his office (point O):
- The home is located at approximately (24.14, -10.14) relative to (0, 0).
- This means his home is to the southeast of his office.
Conclusion
Thus, the direction of Harish's home with respect to his office is South-East. Therefore, the correct answer is option D.
To determine the direction of Harish's home relative to his office, we can break down his movements step by step.
Step 1: Initial Direction
- Harish drives 10 km east from his office.
Step 2: First Turn
- He then turns left (which means he is now facing north) and drives 5 km.
Step 3: Second Turn
- Next, he turns right at an angle of 135 degrees.
- Turning right from north (0 degrees), he will be facing east (90 degrees) and then turning an additional 45 degrees to reach southeast (135 degrees).
- He drives 20 km in this direction.
Mapping the Movements
1. From Office to 10 km East: He moves to point A (10, 0).
2. From Point A, 5 km North: He now moves to point B (10, 5).
3. From Point B, 20 km Southeast:
- Moving southeast for 20 km means he moves both in the east and south directions simultaneously.
- The coordinates change approximately to: (10 + 20 * cos(45°), 5 - 20 * sin(45°)), which is approximately (24.14, -10.14).
Final Calculation
To find the direction of Harish's home (point C) from his office (point O):
- The home is located at approximately (24.14, -10.14) relative to (0, 0).
- This means his home is to the southeast of his office.
Conclusion
Thus, the direction of Harish's home with respect to his office is South-East. Therefore, the correct answer is option D.
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Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.a)Westb)South - Westc)Eastd)South – EastCorrect answer is option 'D'. Can you explain this answer?
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Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.a)Westb)South - Westc)Eastd)South – EastCorrect answer is option 'D'. 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 Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.a)Westb)South - Westc)Eastd)South – EastCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.a)Westb)South - Westc)Eastd)South – EastCorrect answer is option 'D'. Can you explain this answer?.
Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.a)Westb)South - Westc)Eastd)South – EastCorrect answer is option 'D'. 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 Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.a)Westb)South - Westc)Eastd)South – EastCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Harish decided to drive from office to his home. He headed in east direction and covered 10 km and then he turned left. After driving for 5 km in this direction, he turned in right direction at an angle of 135degree and reaches his home after covering another 20 km. Find the direction of his home with respect to his office.a)Westb)South - Westc)Eastd)South – EastCorrect answer is option 'D'. Can you explain this answer?.
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