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From a point Sahil started walked towards south. After walking for 20 m, he took a left turn and walked 40 m. Again he took a left turn and walked 15 m. Now he turned to his right and finally stopped after walking 10 m. How far is he from the starting point?
- a)42.50 m
- b)50.25 m
- c)30.75 m
- d)45 m
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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From a point Sahil started walked towards south. After walking for 20 ...
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From a point Sahil started walked towards south. After walking for 20 ...
Starting Point and Directions:
The question states that Sahil started walking towards the south from a certain point. Let's assume this point as the origin (0,0) on a coordinate plane.
First Left Turn:
After walking for 20 m towards the south, Sahil takes a left turn. This means he is now facing east and moves 40 m in this direction.
Second Left Turn:
After walking 40 m towards the east, Sahil takes another left turn. This means he is now facing north and moves 15 m in this direction.
Right Turn and Final Stop:
After walking 15 m towards the north, Sahil takes a right turn. This means he is now facing east and moves 10 m in this direction before finally stopping.
Calculating the Final Distance:
To find the distance between the starting point and the final position, we need to calculate the horizontal and vertical displacements separately and then use the Pythagorean theorem to find the distance.
Horizontal Displacement:
Sahil initially moves 40 m towards the east and then 10 m towards the east. The total horizontal displacement can be calculated by subtracting the initial eastward movement from the final eastward movement:
Horizontal displacement = 10 m - 40 m = -30 m (negative because it's towards the west)
Vertical Displacement:
Sahil initially moves 20 m towards the south and then 15 m towards the north. The total vertical displacement can be calculated by subtracting the initial southward movement from the final northward movement:
Vertical displacement = 15 m - 20 m = -5 m (negative because it's towards the south)
Calculating the Distance:
Now we can use the Pythagorean theorem to find the distance between the starting point and the final position. The Pythagorean theorem states that the square of the hypotenuse (distance) is equal to the sum of the squares of the other two sides (horizontal and vertical displacements).
Distance^2 = Horizontal displacement^2 + Vertical displacement^2
Distance^2 = (-30 m)^2 + (-5 m)^2
Distance^2 = 900 m^2 + 25 m^2
Distance^2 = 925 m^2
Taking the square root of both sides, we get:
Distance = √925 m
Distance ≈ 30.413 m
Rounding off to two decimal places, the final distance is approximately 30.41 m.
Therefore, the correct answer is option B) 30.41 m.
The question states that Sahil started walking towards the south from a certain point. Let's assume this point as the origin (0,0) on a coordinate plane.
First Left Turn:
After walking for 20 m towards the south, Sahil takes a left turn. This means he is now facing east and moves 40 m in this direction.
Second Left Turn:
After walking 40 m towards the east, Sahil takes another left turn. This means he is now facing north and moves 15 m in this direction.
Right Turn and Final Stop:
After walking 15 m towards the north, Sahil takes a right turn. This means he is now facing east and moves 10 m in this direction before finally stopping.
Calculating the Final Distance:
To find the distance between the starting point and the final position, we need to calculate the horizontal and vertical displacements separately and then use the Pythagorean theorem to find the distance.
Horizontal Displacement:
Sahil initially moves 40 m towards the east and then 10 m towards the east. The total horizontal displacement can be calculated by subtracting the initial eastward movement from the final eastward movement:
Horizontal displacement = 10 m - 40 m = -30 m (negative because it's towards the west)
Vertical Displacement:
Sahil initially moves 20 m towards the south and then 15 m towards the north. The total vertical displacement can be calculated by subtracting the initial southward movement from the final northward movement:
Vertical displacement = 15 m - 20 m = -5 m (negative because it's towards the south)
Calculating the Distance:
Now we can use the Pythagorean theorem to find the distance between the starting point and the final position. The Pythagorean theorem states that the square of the hypotenuse (distance) is equal to the sum of the squares of the other two sides (horizontal and vertical displacements).
Distance^2 = Horizontal displacement^2 + Vertical displacement^2
Distance^2 = (-30 m)^2 + (-5 m)^2
Distance^2 = 900 m^2 + 25 m^2
Distance^2 = 925 m^2
Taking the square root of both sides, we get:
Distance = √925 m
Distance ≈ 30.413 m
Rounding off to two decimal places, the final distance is approximately 30.41 m.
Therefore, the correct answer is option B) 30.41 m.
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From a point Sahil started walked towards south. After walking for 20 m, he took a left turn and walked 40 m. Again he took a left turn and walked 15 m. Now he turned to his right and finally stopped after walking 10 m. How far is he from the starting point?a)42.50 mb)50.25 mc)30.75 md)45 me)None of theseCorrect answer is option 'B'. Can you explain this answer?
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From a point Sahil started walked towards south. After walking for 20 m, he took a left turn and walked 40 m. Again he took a left turn and walked 15 m. Now he turned to his right and finally stopped after walking 10 m. How far is he from the starting point?a)42.50 mb)50.25 mc)30.75 md)45 me)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 From a point Sahil started walked towards south. After walking for 20 m, he took a left turn and walked 40 m. Again he took a left turn and walked 15 m. Now he turned to his right and finally stopped after walking 10 m. How far is he from the starting point?a)42.50 mb)50.25 mc)30.75 md)45 me)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 From a point Sahil started walked towards south. After walking for 20 m, he took a left turn and walked 40 m. Again he took a left turn and walked 15 m. Now he turned to his right and finally stopped after walking 10 m. How far is he from the starting point?a)42.50 mb)50.25 mc)30.75 md)45 me)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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