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Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?
- a)North-East
- b)South-West
- c)North
- d)North-West
Correct answer is option 'D'. Can you explain this answer?
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To determine the direction in which Raj is now from the starting point, we need to analyze the given information step by step.
1. Starting Point:
Raj starts from his office facing West.
2. First Movement:
Raj walks 100 m straight. Since he is facing West, this means he walks in the West direction for 100 m.
3. Second Movement:
Raj takes a right turn. After taking a right turn from the West direction, he would be facing North.
4. Third Movement:
Raj walks 100 m further. Since he is facing North, this means he walks in the North direction for 100 m.
5. Fourth Movement:
Raj takes a left turn. After taking a left turn from the North direction, he would be facing West.
6. Fifth Movement:
Raj walks 50 m. Since he is facing West, this means he walks in the West direction for 50 m.
7. Final Position:
Now we need to determine the direction from the starting point to the current position. Raj moved 100 m West, then 100 m North, and finally 50 m West. This means he has moved 150 m West and 100 m North from the starting point.
To find the direction, we can draw a right-angled triangle with the West movement as the base and the North movement as the height. Using the Pythagorean theorem, we can find the hypotenuse, which represents the direct distance from the starting point to the current position.
The distance of the West movement (base) = 150 m
The distance of the North movement (height) = 100 m
Using the Pythagorean theorem:
Hypotenuse^2 = Base^2 + Height^2
Hypotenuse^2 = 150^2 + 100^2
Hypotenuse^2 = 22500 + 10000
Hypotenuse^2 = 32500
Hypotenuse ≈ 180.28 m
Now, we can determine the direction using the angles of the triangle:
Angle α = atan(Base/Height)
Angle α = atan(150/100)
Angle α = atan(1.5)
Angle α ≈ 56.31°
Since the angle α is between North and West, we can conclude that Raj is in the North-West direction from the starting point.
Therefore, the correct answer is option D) North-West.
1. Starting Point:
Raj starts from his office facing West.
2. First Movement:
Raj walks 100 m straight. Since he is facing West, this means he walks in the West direction for 100 m.
3. Second Movement:
Raj takes a right turn. After taking a right turn from the West direction, he would be facing North.
4. Third Movement:
Raj walks 100 m further. Since he is facing North, this means he walks in the North direction for 100 m.
5. Fourth Movement:
Raj takes a left turn. After taking a left turn from the North direction, he would be facing West.
6. Fifth Movement:
Raj walks 50 m. Since he is facing West, this means he walks in the West direction for 50 m.
7. Final Position:
Now we need to determine the direction from the starting point to the current position. Raj moved 100 m West, then 100 m North, and finally 50 m West. This means he has moved 150 m West and 100 m North from the starting point.
To find the direction, we can draw a right-angled triangle with the West movement as the base and the North movement as the height. Using the Pythagorean theorem, we can find the hypotenuse, which represents the direct distance from the starting point to the current position.
The distance of the West movement (base) = 150 m
The distance of the North movement (height) = 100 m
Using the Pythagorean theorem:
Hypotenuse^2 = Base^2 + Height^2
Hypotenuse^2 = 150^2 + 100^2
Hypotenuse^2 = 22500 + 10000
Hypotenuse^2 = 32500
Hypotenuse ≈ 180.28 m
Now, we can determine the direction using the angles of the triangle:
Angle α = atan(Base/Height)
Angle α = atan(150/100)
Angle α = atan(1.5)
Angle α ≈ 56.31°
Since the angle α is between North and West, we can conclude that Raj is in the North-West direction from the starting point.
Therefore, the correct answer is option D) North-West.
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Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?a)North-Eastb)South-Westc)Northd)North-WestCorrect answer is option 'D'. Can you explain this answer?
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Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?a)North-Eastb)South-Westc)Northd)North-WestCorrect 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 Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?a)North-Eastb)South-Westc)Northd)North-WestCorrect 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 Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?a)North-Eastb)South-Westc)Northd)North-WestCorrect answer is option 'D'. Can you explain this answer?.
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Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?a)North-Eastb)South-Westc)Northd)North-WestCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?a)North-Eastb)South-Westc)Northd)North-WestCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Raj starts from his office facing West and walks 100 m straight, then takes a right turn and walks 100 m. further, he takes a left turn and walks 50 m. In which direction is Raj now from the starting point?a)North-Eastb)South-Westc)Northd)North-WestCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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