A person walks 10 m towards north, then turns right and walks 9 m, then turns right again and walks 25 m. What is the shortest distance from the starting point?

10 m
15 m
17 m
20 m

Correct answer: 17 m

Solution

The person ends up 15 m south of the starting point and 9 m east of it. The shortest distance is the straight-line distance between these two points. Using Pythagoras, \(\sqrt{15^2+9^2}=\sqrt{306}\approx 17.5\), so the nearest option is 17 m.

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