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Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?
- a)7 km East
- b)5 km West
- c)7 km West
- d)5 km North-East
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Anjali goes 12 km towards North from a fixed point and then she goes 8...
Most Upvoted Answer
Anjali goes 12 km towards North from a fixed point and then she goes 8...
Given information:
Anjali goes 12 km towards North from a fixed point.
She goes 8 km towards South from there.
In the end, she goes 3 km towards east.
To find:
How far and in what direction is she from her starting point?
Solution:
Let us assume that Anjali started from point A.
Anjali goes 12 km towards North from point A and reaches point B.
Anjali goes 8 km towards South from point B and reaches point C.
Anjali goes 3 km towards East from point C and reaches point D.
Now, we need to find the distance and direction of point D from point A.
Distance:
To find the distance, we can use Pythagoras theorem.
In the right-angled triangle ABD,
AB = 12 km (distance travelled towards North)
BD = 3 km (distance travelled towards East)
AD = ?
Using Pythagoras theorem,
AD² = AB² + BD²
AD² = 12² + 3²
AD² = 144 + 9
AD² = 153
AD = √153
AD = 12.37 km (approx)
Therefore, Anjali is 12.37 km away from her starting point A.
Direction:
To find the direction, we can use trigonometry.
In the right-angled triangle ABD,
AB = 12 km (opposite side)
BD = 3 km (adjacent side)
θ = ?
Using tanθ = opposite/adjacent,
tanθ = AB/BD
tanθ = 12/3
tanθ = 4
θ = tan⁻¹(4)
θ = 76.24° (approx)
Therefore, Anjali is 5 km towards North-East direction from her starting point A.
Hence, the correct answer is option D.
Anjali goes 12 km towards North from a fixed point.
She goes 8 km towards South from there.
In the end, she goes 3 km towards east.
To find:
How far and in what direction is she from her starting point?
Solution:
Let us assume that Anjali started from point A.
Anjali goes 12 km towards North from point A and reaches point B.
Anjali goes 8 km towards South from point B and reaches point C.
Anjali goes 3 km towards East from point C and reaches point D.
Now, we need to find the distance and direction of point D from point A.
Distance:
To find the distance, we can use Pythagoras theorem.
In the right-angled triangle ABD,
AB = 12 km (distance travelled towards North)
BD = 3 km (distance travelled towards East)
AD = ?
Using Pythagoras theorem,
AD² = AB² + BD²
AD² = 12² + 3²
AD² = 144 + 9
AD² = 153
AD = √153
AD = 12.37 km (approx)
Therefore, Anjali is 12.37 km away from her starting point A.
Direction:
To find the direction, we can use trigonometry.
In the right-angled triangle ABD,
AB = 12 km (opposite side)
BD = 3 km (adjacent side)
θ = ?
Using tanθ = opposite/adjacent,
tanθ = AB/BD
tanθ = 12/3
tanθ = 4
θ = tan⁻¹(4)
θ = 76.24° (approx)
Therefore, Anjali is 5 km towards North-East direction from her starting point A.
Hence, the correct answer is option D.
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Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Anjali goes 12 km towards North from a fixed point and then she goes 8 km towards South from there. In the end she goes 3 km towards east. How far and in what direction is she from her starting point?a)7 km Eastb)5 km Westc)7 km Westd)5 km North-Easte)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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