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Mr. Manjunath is returning towards his home from an unknown direction and reached at a particular point. He observed his home 150m North. At the same time, his wife called him. According to the phone instructions, he turns left and travel 40m, thereafter he turns Right and travels 70m. Again turns Right and travels 100m. Find how far and in which direction is Mr. Manjunath home is located from last point?
- a)North-East, 100m
- b)North-East, 70m
- c)North-West, 70m
- d)North-West, 100m
Correct answer is option 'D'. Can you explain this answer?
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Mr. Manjunath is returning towards his home from an unknown direction ...
To find the distance and direction of Mr. Manjunath's home from the last point, we need to analyze the given directions and distances carefully.
1. Initial Observation:
Mr. Manjunath observed his home 150m to the North from the initial point.
2. Following Phone Instructions:
a) Turn Left and travel 40m:
After receiving the phone call, Mr. Manjunath turns left and travels 40m. This means he moves towards the West direction.
b) Turn Right and travel 70m:
Next, he turns right and travels 70m. Since he was initially moving towards the West, turning right means he starts moving towards the North direction.
c) Turn Right and travel 100m:
After traveling 70m towards the North, he turns right again and moves 100m. Since he was heading North, turning right this time means he starts moving towards the East direction.
3. Finding the Final Position:
Based on the given instructions, Mr. Manjunath has moved 40m West, 70m North, and 100m East from the initial point.
To determine the final distance and direction, we can consider the West and East movements as canceling each other out. This means that the net displacement in the East direction is 100m - 40m = 60m.
The final position can be visualized as moving 70m North and then 60m East from the initial point. This forms a right-angled triangle with the North and East directions as its sides. The distance from the last point (the end of the East movement) to the initial point (Mr. Manjunath's home) can be found using the Pythagorean theorem.
Using the Pythagorean theorem:
Distance = √(North^2 + East^2)
Distance = √(70^2 + 60^2)
Distance = √(4900 + 3600)
Distance = √8500
Distance ≈ 92.20m
Thus, the distance between the last point and Mr. Manjunath's home is approximately 92.20m.
4. Determining the Direction:
To determine the direction, we can use the concept of trigonometric ratios. In this case, we are interested in finding the angle formed between the North direction and the line connecting the last point and Mr. Manjunath's home.
Using the trigonometric ratio tangent:
tan θ = Opposite/Adjacent
tan θ = North/East
θ = tan^(-1)(North/East)
θ = tan^(-1)(70/60)
θ ≈ 48.37°
Since the angle is less than 90°, the direction can be identified as North-West.
Therefore, the final position of Mr. Manjunath's home from the last point is approximately 92.20m in the North-West direction. Hence, the correct answer is option 'D' - North-West, 100m.
1. Initial Observation:
Mr. Manjunath observed his home 150m to the North from the initial point.
2. Following Phone Instructions:
a) Turn Left and travel 40m:
After receiving the phone call, Mr. Manjunath turns left and travels 40m. This means he moves towards the West direction.
b) Turn Right and travel 70m:
Next, he turns right and travels 70m. Since he was initially moving towards the West, turning right means he starts moving towards the North direction.
c) Turn Right and travel 100m:
After traveling 70m towards the North, he turns right again and moves 100m. Since he was heading North, turning right this time means he starts moving towards the East direction.
3. Finding the Final Position:
Based on the given instructions, Mr. Manjunath has moved 40m West, 70m North, and 100m East from the initial point.
To determine the final distance and direction, we can consider the West and East movements as canceling each other out. This means that the net displacement in the East direction is 100m - 40m = 60m.
The final position can be visualized as moving 70m North and then 60m East from the initial point. This forms a right-angled triangle with the North and East directions as its sides. The distance from the last point (the end of the East movement) to the initial point (Mr. Manjunath's home) can be found using the Pythagorean theorem.
Using the Pythagorean theorem:
Distance = √(North^2 + East^2)
Distance = √(70^2 + 60^2)
Distance = √(4900 + 3600)
Distance = √8500
Distance ≈ 92.20m
Thus, the distance between the last point and Mr. Manjunath's home is approximately 92.20m.
4. Determining the Direction:
To determine the direction, we can use the concept of trigonometric ratios. In this case, we are interested in finding the angle formed between the North direction and the line connecting the last point and Mr. Manjunath's home.
Using the trigonometric ratio tangent:
tan θ = Opposite/Adjacent
tan θ = North/East
θ = tan^(-1)(North/East)
θ = tan^(-1)(70/60)
θ ≈ 48.37°
Since the angle is less than 90°, the direction can be identified as North-West.
Therefore, the final position of Mr. Manjunath's home from the last point is approximately 92.20m in the North-West direction. Hence, the correct answer is option 'D' - North-West, 100m.
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Mr. Manjunath is returning towards his home from an unknown direction ...
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Mr. Manjunath is returning towards his home from an unknown direction and reached at a particular point. He observed his home 150m North. At the same time, his wife called him. According to the phone instructions, he turns left and travel 40m, thereafter he turns Right and travels 70m. Again turns Right and travels 100m. Find how far and in which direction is Mr. Manjunath home is located from last point?a) North-East, 100mb) North-East, 70mc) North-West, 70md) North-West, 100mCorrect answer is option 'D'. Can you explain this answer?
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Mr. Manjunath is returning towards his home from an unknown direction and reached at a particular point. He observed his home 150m North. At the same time, his wife called him. According to the phone instructions, he turns left and travel 40m, thereafter he turns Right and travels 70m. Again turns Right and travels 100m. Find how far and in which direction is Mr. Manjunath home is located from last point?a) North-East, 100mb) North-East, 70mc) North-West, 70md) North-West, 100mCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Mr. Manjunath is returning towards his home from an unknown direction and reached at a particular point. He observed his home 150m North. At the same time, his wife called him. According to the phone instructions, he turns left and travel 40m, thereafter he turns Right and travels 70m. Again turns Right and travels 100m. Find how far and in which direction is Mr. Manjunath home is located from last point?a) North-East, 100mb) North-East, 70mc) North-West, 70md) North-West, 100mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Manjunath is returning towards his home from an unknown direction and reached at a particular point. He observed his home 150m North. At the same time, his wife called him. According to the phone instructions, he turns left and travel 40m, thereafter he turns Right and travels 70m. Again turns Right and travels 100m. Find how far and in which direction is Mr. Manjunath home is located from last point?a) North-East, 100mb) North-East, 70mc) North-West, 70md) North-West, 100mCorrect answer is option 'D'. Can you explain this answer?.
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