1. He travelled a total distance of 47 km.
  2. He is minimum 36.25 km far from the starting point.
  3. He is 36 km far from the starting point.
  4. He travelled 33 km towards the north.
  5. None of these
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1 Answers

Option 2 : He is minimum 36.25 km far from the starting point.

The diagram for the given direction problem is as follows:

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Let’s check each option:

1) He travelled a total distance of 47 km → False (as total travelled distance is, 7 + 17 + 8 + 16 = 48 km)

2) He is 36.25 km far from the starting point → True (as shown below)

(Minimum distance)2 = (33)2 + (15)2 = 1089 + 225 = 1314

(Minimum distance) = 36.25

Hence, He is 36.25 km far from the starting point.

3) He is 36 km far from the starting point → False (as he is 36.25 km far from the starting point)

4) He travelled 33 km towards the north → False (as total distance travelled towards north is 7 + 8 = 15 km)

Hence, only statement given in option 2 is true.

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