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Question

Sunita starts from her home towards North. After walking 15 meters, she turned to her right and walked 55 meters. Then she turned to her left and after walking a distance of 20 meters turned to her left again and walked 67 meters. What is the shortest distance between her home and final position and what is the direction of final position with respect to her home?

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Explanation

Northward movement totals 15 plus 20 equals 35 meters, east-west net is 55 east minus 67 west equals 12 meters west. Right triangle with legs 35 and 12 gives hypotenuse 37 by Pythagoras, situated northwest of origin from home position.

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