Ravi walks 5 km towards the north, turns right and walks 3 km, then turns right again and walks 9 km. How far and in which direction is he now from his starting point?
A. 7 km, South-East
B. 5 km, South-East
C. 4 km, South
D. 5 km, North-East
A. 7 km, South-East
B. 5 km, South-East
C. 4 km, South
D. 5 km, North-East
Best answer
Answer: B. 5 km, South-East
Answer: (B) 5 km, South-East
Take the start as (0, 0). North 5 km \(\to\) (0, 5). Right = east 3 km \(\to\) (3, 5). Right again = south 9 km \(\to\) (3, \(-4\)). Distance \(= \sqrt{3^2 + 4^2} = 5\) km; he is east and south of the start, i.e. South-East.
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