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Y travels 15 kilometres due South, then 5 kilometres due west, then 18 kilometres due north, then 3 kilometres due south, then 5 kilometres due East. How far is he from the starting point?
- a)6 kilometres
- b)3 kilometres
- c)0 kilometres
- d)9 kilometres
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Y travels 15 kilometres due South, then 5 kilometres due west, then 1...
As it can be seen in the diagram above, both the starting point and the finishing point of ‘Y' is A, therefore, ‘Y' is 0 km away for from his starting point.
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Most Upvoted Answer
Y travels 15 kilometres due South, then 5 kilometres due west, then 1...
Explanation:
To find the distance from the starting point, we need to calculate the net displacement of Y after traveling in different directions.
Step 1: Traveling 15 kilometers due South
- Y travels 15 kilometers due South, which means he moves in the opposite direction of the North.
- The displacement in the North direction is 0 kilometers.
Step 2: Traveling 5 kilometers due West
- Y now travels 5 kilometers due West, which means he moves in the opposite direction of the East.
- The displacement in the East direction is 0 kilometers.
Step 3: Traveling 18 kilometers due North
- Y then travels 18 kilometers due North.
- The displacement in the North direction is 18 kilometers.
Step 4: Traveling 3 kilometers due South
- Y travels 3 kilometers due South.
- The displacement in the North direction is reduced to 15 kilometers (18 - 3).
Step 5: Traveling 5 kilometers due East
- Finally, Y travels 5 kilometers due East.
- The displacement in the East direction is 5 kilometers.
Calculating the net displacement:
- The net displacement in the North direction is 15 kilometers.
- The net displacement in the East direction is 5 kilometers.
To find the distance from the starting point, we can use the Pythagorean theorem:
- Distance = √(displacement in North direction)^2 + (displacement in East direction)^2
- Distance = √(15^2 + 5^2)
- Distance = √(225 + 25)
- Distance = √250
- Distance ≈ 15.81 kilometers
Therefore, Y is approximately 15.81 kilometers away from the starting point.
Conclusion:
The correct answer is option 'C', 0 kilometers, which is incorrect. The actual distance is approximately 15.81 kilometers.
To find the distance from the starting point, we need to calculate the net displacement of Y after traveling in different directions.
Step 1: Traveling 15 kilometers due South
- Y travels 15 kilometers due South, which means he moves in the opposite direction of the North.
- The displacement in the North direction is 0 kilometers.
Step 2: Traveling 5 kilometers due West
- Y now travels 5 kilometers due West, which means he moves in the opposite direction of the East.
- The displacement in the East direction is 0 kilometers.
Step 3: Traveling 18 kilometers due North
- Y then travels 18 kilometers due North.
- The displacement in the North direction is 18 kilometers.
Step 4: Traveling 3 kilometers due South
- Y travels 3 kilometers due South.
- The displacement in the North direction is reduced to 15 kilometers (18 - 3).
Step 5: Traveling 5 kilometers due East
- Finally, Y travels 5 kilometers due East.
- The displacement in the East direction is 5 kilometers.
Calculating the net displacement:
- The net displacement in the North direction is 15 kilometers.
- The net displacement in the East direction is 5 kilometers.
To find the distance from the starting point, we can use the Pythagorean theorem:
- Distance = √(displacement in North direction)^2 + (displacement in East direction)^2
- Distance = √(15^2 + 5^2)
- Distance = √(225 + 25)
- Distance = √250
- Distance ≈ 15.81 kilometers
Therefore, Y is approximately 15.81 kilometers away from the starting point.
Conclusion:
The correct answer is option 'C', 0 kilometers, which is incorrect. The actual distance is approximately 15.81 kilometers.
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Y travels 15 kilometres due South, then 5 kilometres due west, then 18 kilometres due north, then 3 kilometres due south, then 5 kilometres due East. How far is he from the starting point?a)6 kilometresb)3 kilometresc)0 kilometresd)9 kilometresCorrect answer is option 'C'. Can you explain this answer?
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Y travels 15 kilometres due South, then 5 kilometres due west, then 18 kilometres due north, then 3 kilometres due south, then 5 kilometres due East. How far is he from the starting point?a)6 kilometresb)3 kilometresc)0 kilometresd)9 kilometresCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Y travels 15 kilometres due South, then 5 kilometres due west, then 18 kilometres due north, then 3 kilometres due south, then 5 kilometres due East. How far is he from the starting point?a)6 kilometresb)3 kilometresc)0 kilometresd)9 kilometresCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Y travels 15 kilometres due South, then 5 kilometres due west, then 18 kilometres due north, then 3 kilometres due south, then 5 kilometres due East. How far is he from the starting point?a)6 kilometresb)3 kilometresc)0 kilometresd)9 kilometresCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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