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Mithun travelled 12 kms southward, then turned left and travelled 10 kms, then turned left and travelled 12 km. How far was Mithun form the starting point?
- a)8 km
- b)10 km
- c)12 km
- d)14 km
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Mithun travelled 12 kms southward, then turned left and travelled 10 k...
Clearly, Mithun is 10 km far from starting point.
Most Upvoted Answer
Mithun travelled 12 kms southward, then turned left and travelled 10 k...
To find the distance Mithun is from the starting point, we need to consider the distance he traveled in each direction.
- Mithun traveled 12 km southward: This means he moved in the opposite direction of north. Since the starting point is not mentioned, we can assume that he started from the origin (0,0) on a coordinate plane. Moving 12 km southward means he is now at the point (0, -12).
- Mithun then turned left and traveled 10 km: Turning left means he is now moving in the opposite direction of east. Since he started from (0, -12), moving 10 km in the opposite direction of east means he is now at the point (-10, -12).
- Mithun then turned left again and traveled 12 km: Turning left again means he is now moving in the opposite direction of north. Since he was at (-10, -12), moving 12 km in the opposite direction of north means he is now at the point (-10, 0).
Now, we need to find the distance between the final point (-10, 0) and the origin (0, 0). This can be calculated using the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the values, we have:
Distance = √[(-10 - 0)^2 + (0 - 0)^2]
Distance = √[(-10)^2 + 0^2]
Distance = √[100 + 0]
Distance = √100
Distance = 10
Therefore, Mithun is 10 km away from the starting point.
Hence, the correct answer is option B) 10 km.
- Mithun traveled 12 km southward: This means he moved in the opposite direction of north. Since the starting point is not mentioned, we can assume that he started from the origin (0,0) on a coordinate plane. Moving 12 km southward means he is now at the point (0, -12).
- Mithun then turned left and traveled 10 km: Turning left means he is now moving in the opposite direction of east. Since he started from (0, -12), moving 10 km in the opposite direction of east means he is now at the point (-10, -12).
- Mithun then turned left again and traveled 12 km: Turning left again means he is now moving in the opposite direction of north. Since he was at (-10, -12), moving 12 km in the opposite direction of north means he is now at the point (-10, 0).
Now, we need to find the distance between the final point (-10, 0) and the origin (0, 0). This can be calculated using the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the values, we have:
Distance = √[(-10 - 0)^2 + (0 - 0)^2]
Distance = √[(-10)^2 + 0^2]
Distance = √[100 + 0]
Distance = √100
Distance = 10
Therefore, Mithun is 10 km away from the starting point.
Hence, the correct answer is option B) 10 km.
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Mithun travelled 12 kms southward, then turned left and travelled 10 kms, then turned left and travelled 12 km. How far was Mithun form the starting point?a)8 kmb)10 kmc)12 kmd)14 kmCorrect answer is option 'B'. Can you explain this answer?
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