Rahul traveled 6 km towards north and then turned left and moved a distance of 3 km. From there, he turned left and moved a further distance of 2 km. How far is he from the starting point?
(A) 3 km (B) 4 km (C) 5 km (D) 6 km
Answers
Answered by
92
⭐Answer ⭐:
Rahul is 4 km away from starting point.
⭐Step-by-step explanation ⭐:
First he went 6 km away to north.
Then he went 3 km to left. The distance he walked to the left doesn't matter because he still in the row.
Then he moves again to the left by 2 km which means he is coming back to his starting point.
6 - 2 = 4 km
Hence, Rahul is 4 km away from his starting point.
Answered by
2
He is 5 km far from the starting point.
Correct option: (C) 5 km
Step-by-step explanation:
We have drawn the attached figure to meet our requirements.
Given, AB = 6 km, BC = 3 km and CD = 2 km
Then, BE = CD = 2 km, DE = BC = 3 km
and AE = AB - BE = 6 km - 2 km = 4 km
Since, ADE is a right-angled triangle, we have
AD² = AE² + DE²
⇒ AD² = 4² + 3²
⇒ AD² = 16 + 9 = 25 = 5²
⇒ AD = 5 [since AD > 0, we take AD = + 5]
Thus he is 5 km far from the starting point.
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