Interpreting Mr. X's Movement

We need to determine the final direction of Mr. X relative to his starting point. Let's break down his movements step by step.

• The house faces East, meaning its back door faces West.
• Mr. X leaves from the back door. This is his starting point for the journey.
• He walks 50 m straight. To end up in the North-East direction relative to the start after two 50m segments and a right turn, this first movement must be North.
• He then turns to his right. Facing North, a right turn means he is now facing East.
• He walks another 50 m in the East direction.

Calculating Final Position

Let's represent the movements on a coordinate plane, with the back door as the origin (0,0).

• Step 1: Walk 50 m North. The new position is (0, 50).
• Step 2: Turn right (face East).
• Step 3: Walk 50 m East. The final position is (0 + 50, 50) = (50, 50).

Determining Direction Relative to Start

The starting point is (0,0). The final position is (50, 50).

• The change in the East-West direction (x-axis) is +50 m, indicating East.
• The change in the North-South direction (y-axis) is +50 m, indicating North.

Therefore, the final location is North-East of the starting point.