Question

A man starts walking in north easterly direction from a particular point after walking a distance 500 meters he turns southword and walk a distance of 400 meters at the end of this walk he is situated

Answer 1

Answer:

that's and is

east of the starting point 300meters

Answer 2

The correct answer is:

Explanation:                                                   A

                                                                        =                                           N

                                 500 m               =          ↓      400m                     W  +  E

                                                   =                   ↓                                           S

                                          =      +     +     +      ↓

                                          O                           F  

• "=" represents the movement of the person in north east direction.
• "↓" represents the movement of the person in the south direction.
• Initial point represented by O and final point by F.
• The direction of north, south, east and west are mentioned.
• OA = 500 m.
• AF = 400 m.
• To find OF we need to apply Pythagoras theorem,

                           $AF^{2} + FO^{2} = OA^{2}$

        Putting values,

$400^{2} + FO^{2} = 500^{2}\\FO^{2} = 250000 - 160000\\FO^{2} = 90000\\FO = \sqrt{90000} \\FO = 300$

• The man is 300 m east with respect  to his original position.