Distance from start after moving: 3 km North, 4 km East, 3 km South?

The distance from start after moving in the specified directions is 4 km. To understand how this distance is calculated, we can visualize the movements on a coordinate plane. Starting from a point, moving 3 km North translates to a... Read More

1 MATH MCQS

Distance from start after moving: 3 km North, 4 km East, 3 km South?

  • 4 km
  • 3 km
  • 5 km
  • 6 km
Correct Answer: A. 4 km

Detailed Explanation

The distance from start after moving in the specified directions is 4 km. To understand how this distance is calculated, we can visualize the movements on a coordinate plane. Starting from a point, moving 3 km North translates to a vertical movement upwards on the y-axis. Next, moving 4 km East corresponds to a horizontal movement to the right on the x-axis. Finally, moving 3 km South means moving downwards on the y-axis.

After these movements, the net vertical displacement can be calculated. The initial 3 km North is countered by the 3 km South, resulting in a net vertical position of zero. Thus, all that remains is the 4 km displacement towards the East. Since there is no vertical displacement left, the only distance from the starting point is purely horizontal.

In terms of calculating the straight-line distance from the starting point, we can consider that the final position is directly 4 km away from the start point along the x-axis. Therefore, the distance from start after moving 3 km North, 4 km East, and 3 km South is 4 km. This straightforward analysis not only helps in understanding the movements but also emphasizes the importance of visualizing problems, which can be a crucial skill in competitive exams.

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