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Soni travelled 9 km to the west, then turned right and travelled 7 km, then turned left and travelled 8 km, then turned back and travelled 11km, then turned right and travelled 7 km. How far is he from the starting point?
- a)3 km
- b)6 km
- c)7 km
- d)9 km
Correct answer is option 'B'. Can you explain this answer?
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Soni travelled 9 km to the west, then turned right and travelled 7 km,...
The figure describes the following :
So, Soni is 6 km from the starting point
So, Soni is 6 km from the starting point
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Soni travelled 9 km to the west, then turned right and travelled 7 km,...
Given information:
- Soni travelled 9 km to the west.
- He turned right and travelled 7 km.
- He turned left and travelled 8 km.
- He turned back and travelled 11 km.
- He turned right and travelled 7 km.
To find:
- The distance between Soni's current position and starting point.
Solution:
Let's assume that Soni started from point A.
- After travelling 9 km west, he reached point B which is 9 km away from A.
- Turning right from point B, he travelled 7 km to reach point C.
- Turning left from point C, he travelled 8 km to reach point D.
- Turning back from point D, he travelled 11 km to reach point E which is on the opposite side of point A.
- Turning right from point E, he travelled 7 km to reach point F which is 7 km away from point E.
Now, we need to find the distance between point F and point A.
- We can see that Soni has travelled 9 km to the west from point A to point B.
- He has also travelled 11 km in the opposite direction from point D to point E.
- So, the net displacement in the east-west direction is 9 km - 11 km = -2 km. This means that Soni is 2 km to the east of point A.
- He has travelled 7 km to the north from point C to point F.
- So, the net displacement in the north-south direction is 7 km.
- Using Pythagoras theorem, we can find the distance between point A and point F.
Distance between A and F = sqrt[(2 km)^2 + (7 km)^2] = 7.28 km
Therefore, Soni is 7.28 km away from the starting point A.
Answer: Option B) 6 km
- Soni travelled 9 km to the west.
- He turned right and travelled 7 km.
- He turned left and travelled 8 km.
- He turned back and travelled 11 km.
- He turned right and travelled 7 km.
To find:
- The distance between Soni's current position and starting point.
Solution:
Let's assume that Soni started from point A.
- After travelling 9 km west, he reached point B which is 9 km away from A.
- Turning right from point B, he travelled 7 km to reach point C.
- Turning left from point C, he travelled 8 km to reach point D.
- Turning back from point D, he travelled 11 km to reach point E which is on the opposite side of point A.
- Turning right from point E, he travelled 7 km to reach point F which is 7 km away from point E.
Now, we need to find the distance between point F and point A.
- We can see that Soni has travelled 9 km to the west from point A to point B.
- He has also travelled 11 km in the opposite direction from point D to point E.
- So, the net displacement in the east-west direction is 9 km - 11 km = -2 km. This means that Soni is 2 km to the east of point A.
- He has travelled 7 km to the north from point C to point F.
- So, the net displacement in the north-south direction is 7 km.
- Using Pythagoras theorem, we can find the distance between point A and point F.
Distance between A and F = sqrt[(2 km)^2 + (7 km)^2] = 7.28 km
Therefore, Soni is 7.28 km away from the starting point A.
Answer: Option B) 6 km
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Soni travelled 9 km to the west, then turned right and travelled 7 km,...
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Soni travelled 9 km to the west, then turned right and travelled 7 km, then turned left and travelled 8 km, then turned back and travelled 11km, then turned right and travelled 7 km. How far is he from the starting point?a)3 kmb)6 kmc)7 kmd)9 kmCorrect answer is option 'B'. Can you explain this answer?
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