Question

A girl leaves form her home. She first walks 30 metres in North-West direction and then 30 metres in South-West direction. Next, she walks 30 metres in Southeast direction. Finally she turns towards her house. In which direction is she moving?

Answer 1

Answer:

she is walking in the northeast direction

Answer 2

$\setlength{\unitlength}{0.8cm} \begin{picture}(12,4) \thicklines \put(8,3.3){{\footnotesize 3 -simplex}} \put(9,3){\circle*{0.1}} \put(8.3,2.9){ a_2 } \put(8,1){\circle*{0.1}} \put(7.7,0.5){ a_0 } \put(10,1){\circle*{0.1}} \put(9.7,0.5){ a_1 } \put(11,1.66){\circle*{0.1}} \put(11.1,1.5){ a_3 } \put(9,3){\line(3,-2){2}} \put(10,1){\line(3,2){1}} \put(8,1){\line(1,0){2}} \put(8,1){\line(1,2){1}} \put(10,1){\line(-1,2){1}} \end{picture}$