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Multiple Choice Questions

A man walks 20 m towards north then he turns right and walks 3 m then turns left and walks 4 m and f...........

Logical Reasoning (CSC) Direction Sense

A man walks 20 m towards north, then he turns right and walks 3 m, then turns left and walks 4 m and from there he walks 4 m towards east. How far and in which direction is he from his initial position?

25 m east

25 m north-east

20 m north

24 m north

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Explanation:

- The man starts by walking 20 meters north.

- He turns right (which is east when facing north) and walks 3 meters.

- Next, he turns left (which makes it north again) and walks 4 meters.

- From this position, he walks 4 meters towards the east.

- We need to determine his final position relative to the starting point.

Analysis for the Options:

- Option 1: 25 m east

- Incorrect. It does not account for the northern direction component of his walk.

- Option 2: 25 m north-east

- Upon calculating, the path forms a right-angled triangle. Using the Pythagorean theorem, his final distance from the start is $\sqrt{(3 + 4)^{2} + (20 + 4)^{2}} = \sqrt{49 + 576} = \sqrt{625} = 25$ meters.