Solve this :

57.  A person moves 7m towards east, then he took a left turn and moves 24m. Magnitude of  his displacement and distance is 

(A)  31m, 25m                                              (B)  25m, 31m
(C)  ​24m, 7m                                                (D)  ​None of these
 

Dear student,
Here is the solution of your asked query:

Here the distance = AB + BC = 7m + 24m = 31m
And displacement is the shortest distance and here the shortest distance is AC, so we have;
AC=AB2+BC2               {using Pythagoreous theorem}      =72+242     =625      =25 mTherefore, the displacement is 25m and the distance is 31 m.
Regards

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