A person walks 1 km towards the East and then he turns to the South and walks 5 km. Again he turns to East and walks 2 km, after this, he turns to North and walks 9 km. Now, how far is he from his starting point?

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  1. 4 km
  2. 5 km
  3. 7 km
  4. 9 km

Answer (Detailed Solution Below)

Option 2 : 5 km
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Detailed Solution

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Logic: The directions for the person is given and needs to draw a diagram and answer the question.

Let, the starting point be "O". From 'O' person will move to the east direction for 1 km which is the point 'A'.

Now, from Point 'A' he will move towards the south direction for 5 km which is point 'B'. Again he turns to East and walks 2 km

The person will be moving towards the north direction for 9 km. Let, this point be 'D' which is the final point.

Therefore, the final diagram is as follows:  

F1  Kumar P 01-11-21 Savita D2

Now, we have to find the shortest distance between starting point 'D' and the final point 'A'.

So, we have to apply the Pythagoras theorem in triangle "ODE" which is a right-angle triangle.

\((Hypotenuse)^2 = (Perpendicular)^2 + (Base) ^2\)

\((OD )^2 = (OE)^2 + (DE)^2\)

\((OD)^2 = (3)^2 + (4) ^2\)

\((OD)^2 = 9 + 16\)

\((OD)^2 = 25 \)

\(OD = 5 \)

As the shortest distance obtained between O and D is 5km.

Hence, the correct answer is "5 km".

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