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A man walks 20 m in the east. He turns 90 degrees towards his right and walks 20 m. he turns 225 degrees towards his left and walks 10√2 m. now he turns 45 degrees towards his left and walks 17.5 m. How far is he from his initial point?

A man walks 20 m in the east. He turns 90 degrees towards his right and walks 20 m. he turns 225 degrees towards his left and walks 10√2 m. now he turns 45 degrees towards his left and walks 17.5 m. How far is he from his initial point? Correct Answer 12.5 m

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From the figure, the vertical and horizontal distances between his initial and final position are 10 and 7.5m. So using the Pythagorean theorem,

= √ (122 + 7.52) = 12.5 m

So, the displacement is 12.5m.

Hence, the correct answer is 12.5 m.

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