A person starts from point A and walks 30 metres in the north direction, then 20 metres towards the west, reaching point B. He then takes a southward turn and walks 10 metres to point C. After that he turns eastward and covers 15 metres to reach point D. Finally, turning to his right, he walks 20 metres. Find the distance from his starting point to the end point.
A4 metres
B5 metres ✓ Correct
C8 metres
D10 metres
Correct answer: (B) 5 metres
Explanation
The end point is 5 metres from the start.
Take A at (0,0): north 30 gives (0,30), west 20 gives (-20,30).
South 10 gives (-20,20), east 15 gives (-5,20).
A right turn now faces south; 20 metres gives (-5,0).
Distance from (0,0) = root((-5) x (-5) + 0) = root(25) = 5.
Method: coordinate tracking then straight-line distance.
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