Amit's Journey and Direction Logic

This question requires us to carefully track the movements of Amit starting from point A to understand his final position relative to different points. We need to determine the specific direction of point D when viewed from point F.

Amit's Path Tracking Step-by-Step

Let's follow Amit's movements precisely:

• Movement 1: A to B
  Amit begins at point A and moves 10 m towards the East. We can represent this on a coordinate plane. If A is at the origin (0, 0), then point B is at (10, 0).
• Movement 2: B to C
  At point B, Amit turns right. Since he was facing East, a right turn makes him face South. He walks 10 m in this direction. Moving 10 m South from B (10, 0) brings him to point C at coordinates (10, -10).
• Movement 3: C to D
  Next, at point C, he takes another right turn. Facing South, a right turn means he now faces West. He walks 5 m West. Moving 5 m West from C (10, -10) leads him to point D at coordinates ($10 - 5$, $-10$) which simplifies to (5, -10).
• Movement 4: D to E
  From point D, Amit makes a right turn again. Facing West, a right turn means he now faces North. He walks 5 m North. Moving 5 m North from D (5, -10) brings him to point E at coordinates (5, $-10 + 5$), which simplifies to (5, -5).
• Movement 5: E to F
  Finally, at point E, Amit takes a left turn. Facing North, a left turn means he now faces West. He walks 5 m West. Moving 5 m West from E (5, -5) brings him to his destination, point F, at coordinates ($5 - 5$, $-5$), which simplifies to (0, -5).

Point D Relative Position to F

To determine the direction of point D with respect to point F, we compare their coordinates:

• The coordinates of point D are (5, -10).
• The coordinates of point F are (0, -5).

We calculate the difference in coordinates to find the relative position:

• East-West Displacement: We look at the difference in the x-coordinates ($x_D - x_F$). This is $5 - 0 = 5$. A positive result means point D is 5 meters East of point F.
• North-South Displacement: We look at the difference in the y-coordinates ($y_D - y_F$). This is $-10 - (-5) = -10 + 5 = -5$. A negative result means point D is 5 meters South of point F.

Since point D is located 5 meters East and 5 meters South of point F, the direction of point D from point F is South-East.

Direction Conclusion: D from F

By plotting Amit's movements and calculating the relative positions, we find that point D is situated in the South-East direction from point F.