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A person walks 30 metres north, then turns right and walks 30 metres. He then turns right and walks 45 metres. Then he turns left and walks 15 metres. Again he turns left and walks 15 metres. In which direction and how far is the person from the starting point?

A45 metres, west
B35 metres, east
C35 metres, west
D45 metres, east ✓ Correct
Correct answer: (D) 45 metres, east
Explanation

The person is 45 m to the east.

North 30 then right (east) 30: at (30, 30).

Right (south) 45: at (30, -15).

Left (east) 15 then left (north) 15: at (45, 0).

Net east 45, net north-south 0, so 45 m east.

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