Ramu starts from his house; moves towards the east; walks 90 m; turns right and moves 20 m. He turns right again and moves 30 m. Finally, he turns right and walks 100 m. In which direction should he walk to reach his house again?
South-west
Take the house as the origin (0, 0), east as +x and north as +y.
East 90 m → (90, 0). Turn right (now facing south), 20 m → (90, −20).
Turn right (now facing west), 30 m → (60, −20). Turn right (now facing north), 100 m → (60, 80).
Ramu is 60 m east and 80 m north of his house, so to return he must move west and south, i.e. towards the south-west.
Hence, South-west.
Similar Questions
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Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
