A person starts from point X, walks 4 km due east to reach Y, then turns left and walks 3 km to reach Z. What is the shortest distance from X to Z, and in which direction is Z from X?

Question

Accepted Answer

5 km, North-East. From X(0,0), 4 km east reaches Y(4,0); a left turn faces north, 3 km reaches Z(4,3). The shortest distance is √(4²+3²) = 5 km, and Z lies to the north-east of X.

A person starts from point X, walks 4 km due east to reach Y, then turns left and walks 3 km to reach Z. What is the shortest distance from X to Z, and in which direction is Z from X?

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