Question

A girl leaves her home and walks 30 mt towards north. She turns clockwise by 45° and walks 30 meter. Then she turns anti-clockwise by 45° and walks 30 meter, Then she turns by 90° towards her left and walks 60 meter. There she turns towards her home. In which direction is she walking?

• A. South
• B. South and East
• C. North and East
• D. North and West

Answer 1

The Correct Option is B

To determine the direction in which the girl is walking, let's break down the steps of her journey:

1. The girl starts by walking 30 meters towards the north.
2. She then turns clockwise by 45° and walks another 30 meters. Turning 45° clockwise from north places her in the northeast direction.
3. Next, she turns anti-clockwise by 45° and walks 30 meters. Turning 45° anti-clockwise from northeast returns her to the north.
4. She then makes a 90° turn towards her left and walks 60 meters. A 90° turn to the left from north points her west.

After these steps, the girl needs to turn towards her home. The last known direction from which she turned was west. Therefore, for the final leg of her journey back towards her home, she must face the southeast direction.

The correct answer is South and East. This indicates her movement direction, which is compatible with returning towards her starting point.

This solution can be visualized through logical spatial reasoning, tracking the turns and distances relative to her starting point and using basic principles of direction changes based on degrees.