Direction-sense: path with two left turns after East and North legs: I drove East for 5 miles, then North for 3 miles, then turned left and drove 2 miles, and again turned left. In which direction am I going now?

Introduction / Context:This problem checks basic direction-sense and turn handling on a grid. You must track orientation after each movement and left turn.

Given Data / Assumptions:

• Start facing East.
• Go East 5 miles, then North 3 miles.
• Left from North faces West; travel 2 miles.
• Another left from West faces South.

Concept / Approach:Represent each move on standard compass axes (East–West as x-axis, North–South as y-axis). A left turn rotates heading 90 degrees counter-clockwise from current facing.

Step-by-Step Solution:

Verification / Alternative check:List headings only: East → North → (left) West → (left) South. The final facing is South.

Why Other Options Are Wrong:North/West/North-west misinterpret one or both left turns.

Common Pitfalls:Confusing position with facing; the question asks for the current direction of travel, not where you are.

Final Answer:South