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A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.
- a)10m, south east
- b)10m, north west
- c)10m, north east
- d)10m, south west
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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A person starts walking in south direction and walks a distance of 7 m...
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A person starts walking in south direction and walks a distance of 7 m...
Given information:
A person starts walking in the south direction and walks a distance of 7 meters. Then, the person takes a left turn and walks 6 meters. Finally, the person takes another left turn and walks 15 meters to reach point P.
To find:
The distance between the starting point and point P, as well as the direction of the person from the initial point.
Solution:
Step 1: Determine the position after the first leg:
The person starts by walking in the south direction for a distance of 7 meters. Since the person is only walking in one direction, we can represent this as a vector pointing south with a magnitude of 7 meters.
Step 2: Determine the position after the second leg:
After reaching the end of the first leg, the person takes a left turn and walks 6 meters. Since the person took a left turn, the direction of movement would be towards the east. We can represent this as a vector pointing east with a magnitude of 6 meters.
Step 3: Determine the position after the third leg:
After reaching the end of the second leg, the person takes another left turn and walks 15 meters. Since the person took a left turn, the direction of movement would be towards the north. We can represent this as a vector pointing north with a magnitude of 15 meters.
Step 4: Calculate the resultant vector:
To find the final position of the person, we need to add all the vectors together. We can do this by adding the magnitudes of each vector in the respective directions.
- In the north direction, the person walked 15 meters.
- In the east direction, the person walked 6 meters.
- In the south direction, the person walked 7 meters.
To calculate the resultant vector, we can use the Pythagorean theorem. The magnitude of the resultant vector can be found using the formula:
resultant magnitude = √(north^2 + east^2 + south^2)
resultant magnitude = √(15^2 + 6^2 + 7^2)
= √(225 + 36 + 49)
= √(310)
≈ 17.6 meters
Step 5: Determine the direction:
To determine the direction, we can use trigonometry. The angle between the east direction and the resultant vector can be found using the formula:
θ = tan^(-1)(north / east)
θ = tan^(-1)(15 / 6)
≈ 66.8 degrees
Based on the angle, we can determine the direction as northeast.
Final answer:
The distance between the starting point and point P is approximately 17.6 meters. The person is in the northeast direction from the initial point. Therefore, the correct answer is option 'C': 10m, northeast.
A person starts walking in the south direction and walks a distance of 7 meters. Then, the person takes a left turn and walks 6 meters. Finally, the person takes another left turn and walks 15 meters to reach point P.
To find:
The distance between the starting point and point P, as well as the direction of the person from the initial point.
Solution:
Step 1: Determine the position after the first leg:
The person starts by walking in the south direction for a distance of 7 meters. Since the person is only walking in one direction, we can represent this as a vector pointing south with a magnitude of 7 meters.
Step 2: Determine the position after the second leg:
After reaching the end of the first leg, the person takes a left turn and walks 6 meters. Since the person took a left turn, the direction of movement would be towards the east. We can represent this as a vector pointing east with a magnitude of 6 meters.
Step 3: Determine the position after the third leg:
After reaching the end of the second leg, the person takes another left turn and walks 15 meters. Since the person took a left turn, the direction of movement would be towards the north. We can represent this as a vector pointing north with a magnitude of 15 meters.
Step 4: Calculate the resultant vector:
To find the final position of the person, we need to add all the vectors together. We can do this by adding the magnitudes of each vector in the respective directions.
- In the north direction, the person walked 15 meters.
- In the east direction, the person walked 6 meters.
- In the south direction, the person walked 7 meters.
To calculate the resultant vector, we can use the Pythagorean theorem. The magnitude of the resultant vector can be found using the formula:
resultant magnitude = √(north^2 + east^2 + south^2)
resultant magnitude = √(15^2 + 6^2 + 7^2)
= √(225 + 36 + 49)
= √(310)
≈ 17.6 meters
Step 5: Determine the direction:
To determine the direction, we can use trigonometry. The angle between the east direction and the resultant vector can be found using the formula:
θ = tan^(-1)(north / east)
θ = tan^(-1)(15 / 6)
≈ 66.8 degrees
Based on the angle, we can determine the direction as northeast.
Final answer:
The distance between the starting point and point P is approximately 17.6 meters. The person is in the northeast direction from the initial point. Therefore, the correct answer is option 'C': 10m, northeast.
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A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. 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 A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. 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 A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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Here you can find the meaning of A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A person starts walking in south direction and walks a distance of 7 meters. Now he tooks a left turn and walk 6m. Again he takes a left turn and walk 15m and reached a point P. Find the distance between starting point and P and in which direction is the person from the initial point.a)10m, south eastb)10m, north westc)10m, north eastd)10m, south weste)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice LR tests.
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