Direction Tests

Concept:Use direction changes (left turns) and net displacement to find final direction from start.Explanation:Start at $X$ and walk $5\ \mathrm{km}$ West.Turn left (from West, left is South) and walk $2\ \mathrm{km}$ South.Turn left again (from South, left is East) and walk $7\ \mathrm{km}$ East.Net East-West: $7\ \mathrm{km}$ East minus $5\ \mathrm{km}$ West = $2\ \mathrm{km}$ East.Net North-South: $2\ \mathrm{km}$ South.Final position is $2\ \mathrm{km}$ East and $2\ \mathrm{km}$ South of $X$, which is South-East.Answer:South-East