John drove his car towards east 8km , he then turned and drove towards north 15km. How far was he from where he started?
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Answer: 17 km
Step-by-step explanation:
If A is the starting point, John traveled AB = 8 km to the east and then BC = 15 km to the north.
As seen from the figure, he is at a distance CA from his tarting point.
Since ABC is a right-angled triangle, by Pythagoras theorem,
AC² = AB² + BC²
⇒ AC² = 8² + 15²
⇒ AC² = 289 = 17²
⇒ AC = 17
Thus, John is at 17 km from where he started.
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