Question

Deepa moved a distance of $75m$ towards the North. She then turned to the left and after walking for about $25m$, turned left again and walked $80m$. Finally, she turned to the right at an angle of ${45}^{\circ }$. In which direction was she moving finally?

• A. North-east
• B. North-west
• C. South-east
• D. South-west

Answer 1

The correct option is D South-west

Consider a Cartesian plane taking positive $X-$axis as East; negative $X-$axis as West; positive $Y-$axis as North and negative $Y-axis$ as South.
She moves $75m$ on positive $Y-$axis and then $25m$ parallel to negative $X-$axis.
Finally she moves $80m$ parallel to negative $Y-$axis.
Thus she is in the South-west direction from the starting point.
Now, she turns at an angle of ${45}^0$.
Therefore, she continues to be in the same direction only.