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A man is facing South. He turns 90 degrees clockwise, then 135 degrees anti-clockwise. Which direction is he facing now?
North-East
North-West
South-East
South-West
North-East
Assign clockwise as positive and anti-clockwise as negative; net change is 90 - 135 = -45 degrees (45 degrees anti-clockwise from South).
Assign clockwise as positive and anti-clockwise as negative; net change is 90 - 135 = -45 degrees (45 degrees anti-clockwise from South).
Initial position
The man starts by facing South.
Net calculation
Clockwise movement is 90 degrees. Anti-clockwise movement is 135 degrees. Net movement = 90 (CW) - 135 (ACW) = -45 degrees, which indicates a net 45-degree rotation in the anti-clockwise direction.
Final orientation
Starting from South, a 45-degree turn in the anti-clockwise direction moves the man to the South-East direction.
A: North-East is 135 degrees anti-clockwise from South, not 45. B: North-West is 135 degrees clockwise from South. D: South-West is 45 degrees clockwise from South.
C is correct because a net change of 45 degrees anti-clockwise from South leads to South-East.
Always convert total clockwise and anti-clockwise turns into a single net value before applying them to the starting direction to avoid confusion.