Facing East, you go right 20 m (South), then left 20 m (East), then right 20 m (South), then right 40 m (West) and finally turn right again and go 40 m. From your original position, which direction are you now?

Introduction / Context:This itinerary mixes several right/left turns. We compute the final coordinates and then determine the direction from the origin to the final point.

Given Data / Assumptions:

• Start facing East.
• Right 20 → South 20.
• Left 20 → East 20.
• Right 20 → South 20.
• Right 40 → West 40.
• Right 40 (turn then go) → from West, right to North → North 40.

Concept / Approach:Use coordinates with origin at the start. Sum each axis displacement and interpret the final vector.

Step-by-Step Solution:After first three legs: (20, −40).After West 40: (−20, −40).After North 40: (−20, 0).Relative to the origin, the point is 20 m West.

Verification / Alternative check:Vertical displacement cancels to zero; only a 20 m West offset remains.

Why Other Options Are Wrong:North/South/East do not match the computed negative x (West) position.

Common Pitfalls:Misapplying the last “right,” which is from West to North before moving 40 m.

Final Answer:West