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The front door of Mr X's house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.
- a)North-West
- b)North-East
- c)South-East
- d)West
Correct answer is option 'A'. Can you explain this answer?
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The front door of Mr Xs house faces East. Mr X leaves the house, walki...
Solution:
In this question, we are given that Mr X's house front door faces East and he leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. We need to find the direction of the point Mr X is now located at with respect to the starting point.
Let us assume that Mr X's starting point is point O, and the direction of his house's front door is towards the positive x-axis. So, we can represent the starting point as (0,0).
Now, Mr X walks 50m straight from the back door, which is opposite to the front door. This means he walks towards the negative x-axis. So, his new position can be represented as (-50,0).
Next, Mr X turns to his right and walks for another 50 m. This means he walks towards the negative y-axis. So, his new position can be represented as (-50,-50).
To find the direction of the point Mr X is now located at with respect to the starting point, we need to find the angle between the line joining the starting point and the new point, and the positive x-axis.
Let us assume that the new point is point P. So, we need to find the angle between OP and the positive x-axis.
Using trigonometry, we can find that the angle between OP and the positive x-axis is 135 degrees.
Therefore, the direction of the point Mr X is now located at with respect to the starting point is North-West.
Hence, the correct answer is option A.
In this question, we are given that Mr X's house front door faces East and he leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. We need to find the direction of the point Mr X is now located at with respect to the starting point.
Let us assume that Mr X's starting point is point O, and the direction of his house's front door is towards the positive x-axis. So, we can represent the starting point as (0,0).
Now, Mr X walks 50m straight from the back door, which is opposite to the front door. This means he walks towards the negative x-axis. So, his new position can be represented as (-50,0).
Next, Mr X turns to his right and walks for another 50 m. This means he walks towards the negative y-axis. So, his new position can be represented as (-50,-50).
To find the direction of the point Mr X is now located at with respect to the starting point, we need to find the angle between the line joining the starting point and the new point, and the positive x-axis.
Let us assume that the new point is point P. So, we need to find the angle between OP and the positive x-axis.
Using trigonometry, we can find that the angle between OP and the positive x-axis is 135 degrees.
Therefore, the direction of the point Mr X is now located at with respect to the starting point is North-West.
Hence, the correct answer is option A.
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Community Answer
The front door of Mr Xs house faces East. Mr X leaves the house, walki...
Tracing path followed by Mr. X,
Hence Mr. X will be in North-West direction from the starting point.
Hence Mr. X will be in North-West direction from the starting point.
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The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer?
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The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer?.
The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer?.
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The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The front door of Mr Xs house faces East. Mr X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr X is now located at with respect to the starting point is ______.a)North-Westb)North-Eastc)South-Eastd)WestCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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