Question Details

The front door of Mr. X’s house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is ______

Options

A

North-East

B

North-East

C

West

D

North-West

Correct Answer :

North-West

Solution :

The correct option is North-West.

Let us break down the movement step-by-step based on the directions shown in the diagram:
1. Initial Position and Cardinal Directions:
Standard directions are oriented such that North is up, South is down, East is right, and West is left. As shown in the diagram, the front door of the house faces East. Since the back door is directly opposite to the front door, it must face West.

2. First Movement:
Mr. X leaves the house through the back door (starting point) and walks 50 m straight. Since the back door faces West, he walks 50 m towards the West.

3. Second Movement:
After walking 50 m West, he turns to his right. While facing West, a right-hand turn points towards the North. He then walks another 50 m in this direction (North) to reach his ending point.

4. Finding the Final Direction:
To find the direction of the ending point with respect to the starting point:
- The ending point is located 50 m to the West and 50 m to the North of the starting point.
- As indicated by the dashed arrow in the diagram, this position lies in the quadrant between North and West.
Therefore, Mr. X is now located in the North-West direction relative to his starting point.

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