Yogesh started walking towards East. After moving a distance of 2 km, he turned Southward and walked 5 km. Again he turned to East and walked 1 km. Finally he turned to the North and walked 9 km. How far is he from his starting point?

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  1. 3 km
  2. 4 km
  3. 5 km
  4. 7 km

Answer (Detailed Solution Below)

Option 3 : 5 km

Detailed Solution

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Given:

Yogesh started walking towards East. After moving a distance of 2 km, he turned Southward and walked 5 km. Again he turned to East and walked 1 km. Finally he turned to the North and walked 9 km.

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Using the Pythagoras Theorem,

the shortest distance between the starting and the final point = \(√(3^2+4^2 )\)
⇒ \(√25 \)

 

= 5 km

Thus, the shortest distance between the starting and the final point is 5 km.

Hence, the correct answer is "Option 3".

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