Distance and Direction Questions and Answers – Page 2

| Step 5: The horizontal sign points East and the vertical sign points South. | Step 6: Together these signs give South-East; therefore S is South-East of P. | Final Answer: Option B — South-East.

| Step 5: The horizontal sign points East and the vertical sign points North. | Final Answer: Option A — North-East.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at South. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 270° right, then turns 180° left, then turns 90° right. | Step 4: The direction after each command is South → East → West → North. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is North, so this is the final orientation. | Final Answer: Option D — North.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at North. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 180° right, then turns 270° left, then turns 90° left. | Step 4: The direction after each command is North → South → West → South. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is South, so this is the final orientation. | Final Answer: Option C — South.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at West. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 90° left, then turns 180° left, then turns 270° right. | Step 4: The direction after each command is West → South → North → West. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is West, so this is the final orientation. | Final Answer: Option B — West.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at East. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 90° right, then turns 270° left, then turns 180° right. | Step 4: The direction after each command is East → South → West → East. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is East, so this is the final orientation. | Final Answer: Option A — East.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at South. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 180° left, then turns 270° right, then turns 90° right. | Step 4: The direction after each command is South → North → West → North. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is North, so this is the final orientation. | Final Answer: Option D — North.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at North. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 270° right, then turns 180° right, then turns 90° left. | Step 4: The direction after each command is North → West → East → North. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is North, so this is the final orientation. | Final Answer: Option C — North.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at West. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 270° left, then turns 90° right, then turns 180° left. | Step 4: The direction after each command is West → North → East → West. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is West, so this is the final orientation. | Final Answer: Option B — West.

Step 1: Write the clockwise compass order North → East → South → West. | Step 2: Begin at South. Treat every 90° right as one clockwise step and every 90° left as one anticlockwise step. | Step 3: Apply the commands separately rather than adding their angles without direction: turns 180° right, then turns 90° left, then turns 90° right. | Step 4: The direction after each command is South → North → West → North. | Step 5: A 180° command reverses facing, while a 270° turn equals a 90° turn in the opposite sense. | Step 6: The last entry in the trace is North, so this is the final orientation. | Final Answer: Option A — North.