A man starts from a point and moves 3 km north then turns to west and goes 2 km. He turns north and walks 1 km and then moves 5 km towards east . How far is he from the starting point
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Man is 5 km from the starting point
Given:
A man starts from a point and moves 3 km north
Turns to west and goes 2 km
Turns north and walks 1 km
Moves 5 km towards east
To Find:
Distance from the starting point
Solution:
North
West East
South
A man starts from a point and moves 3 km north
North = 3 km
turns to west and goes 2 km.
West = 2 km => East = - 2 km
He turns north and walks 1 km
North = 1 km
moves 5 km towards east
East = 5 km
Total North = 3 + 1 = 4 km
Total East = -2 + 5 = 3 km
As north and east are perpendicular to each other hence using Pythagorean theorem:
Total Distance = √4² + 3² = 5 km
He is 5 km from the starting point
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