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Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?
- a)40 m, North
- b)50 m, West
- c)10 m, East
- d)10 m, West
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Hemant walked 40 metres facing towards North. From there he walked 50 ...
Problem Analysis:
Hemant starts walking towards the North direction and then takes two left turns. We need to find out the final distance and direction of Hemant from his starting point.
Given:
Distance walked facing towards North = 40 metres
Distance walked after turning left = 50 metres
Distance walked after turning left again = 40 metres
To Find:
Final distance and direction of Hemant from his starting point
Solution:
Let's draw the diagram as per the given information. We can assume Hemant's starting point as the origin of the coordinate system.
We can assume the North direction as the positive y-axis, and the East direction as the positive x-axis.
At the starting point, Hemant is facing towards the North direction. So his initial direction is North.
After walking 40 metres towards the North direction, Hemant will reach point A.
Then he turns left and walks 50 metres towards the West direction. So his new direction will be towards the West.
From point A, if Hemant walks towards the West direction for 50 metres, he will reach point B.
Again he turns left and walks 40 metres towards the South direction. So his new direction will be towards the South.
From point B, if Hemant walks towards the South direction for 40 metres, he will reach point C.
Now we need to find out the final distance and direction of Hemant from his starting point.
Final Distance:
To find out the final distance, we need to find out the distance between the starting point and point C.
We can apply the Pythagoras theorem to find out the distance between two points in a 2-D plane.
The distance between starting point and point C = √(40² + 50²) = √(1600 + 2500) = √4100 = 10√41 ≈ 64.1 metres
So the final distance of Hemant from his starting point is approximately 64.1 metres.
Final Direction:
To find out the final direction, we need to find out the angle between the line joining the starting point and point C and the positive x-axis.
We can apply the trigonometric functions to find out the angle.
tan θ = (Distance between starting point and point C in y-direction) / (Distance between starting point and point C in x-direction)
tan θ = -40 / 50 = -4 / 5
θ = tan⁻¹(-4/5) ≈ -38.66°
So the final direction of Hemant from his starting point is towards the West-Southwest direction at an angle of approximately 38.66 degrees with the positive x-axis.
Therefore, the correct answer is option (b) 50 m, West.
Hemant starts walking towards the North direction and then takes two left turns. We need to find out the final distance and direction of Hemant from his starting point.
Given:
Distance walked facing towards North = 40 metres
Distance walked after turning left = 50 metres
Distance walked after turning left again = 40 metres
To Find:
Final distance and direction of Hemant from his starting point
Solution:
Let's draw the diagram as per the given information. We can assume Hemant's starting point as the origin of the coordinate system.
We can assume the North direction as the positive y-axis, and the East direction as the positive x-axis.
At the starting point, Hemant is facing towards the North direction. So his initial direction is North.
After walking 40 metres towards the North direction, Hemant will reach point A.
Then he turns left and walks 50 metres towards the West direction. So his new direction will be towards the West.
From point A, if Hemant walks towards the West direction for 50 metres, he will reach point B.
Again he turns left and walks 40 metres towards the South direction. So his new direction will be towards the South.
From point B, if Hemant walks towards the South direction for 40 metres, he will reach point C.
Now we need to find out the final distance and direction of Hemant from his starting point.
Final Distance:
To find out the final distance, we need to find out the distance between the starting point and point C.
We can apply the Pythagoras theorem to find out the distance between two points in a 2-D plane.
The distance between starting point and point C = √(40² + 50²) = √(1600 + 2500) = √4100 = 10√41 ≈ 64.1 metres
So the final distance of Hemant from his starting point is approximately 64.1 metres.
Final Direction:
To find out the final direction, we need to find out the angle between the line joining the starting point and point C and the positive x-axis.
We can apply the trigonometric functions to find out the angle.
tan θ = (Distance between starting point and point C in y-direction) / (Distance between starting point and point C in x-direction)
tan θ = -40 / 50 = -4 / 5
θ = tan⁻¹(-4/5) ≈ -38.66°
So the final direction of Hemant from his starting point is towards the West-Southwest direction at an angle of approximately 38.66 degrees with the positive x-axis.
Therefore, the correct answer is option (b) 50 m, West.
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Community Answer
Hemant walked 40 metres facing towards North. From there he walked 50 ...
Explanation:
Let's visualize Hemant's movements step by step:
1. Hemant started at point A and walked 40 meters North to point B.
2. Then, he turned left (towards West) and walked 50 meters to point C.
3. Finally, he turned left again (towards South) and walked 40 meters to point D.
Now, let's analyze his final position relative to the starting point:
- Hemant is 40 meters South of point B (his position after the first move), so he is at the same vertical level as point A (his starting point).
- Hemant is 50 meters West of point A (his starting point).
Hence, Hemant's final position relative to his starting point is:
- 50 meters West
Therefore, the correct answer is:
D: 10 m, West
Let's visualize Hemant's movements step by step:
1. Hemant started at point A and walked 40 meters North to point B.
2. Then, he turned left (towards West) and walked 50 meters to point C.
3. Finally, he turned left again (towards South) and walked 40 meters to point D.
Now, let's analyze his final position relative to the starting point:
- Hemant is 40 meters South of point B (his position after the first move), so he is at the same vertical level as point A (his starting point).
- Hemant is 50 meters West of point A (his starting point).
Hence, Hemant's final position relative to his starting point is:
- 50 meters West
Therefore, the correct answer is:
D: 10 m, West
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Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Hemant walked 40 metres facing towards North. From there he walked 50 metres after turning to his left. After this he walked 40 metres after turning to his left. How far and in what direction is he now from his starting point?a)40 m, Northb)50 m, Westc)10 m, Eastd)10 m, Weste)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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