Question : A man goes 24 m towards the east and then 10 m towards the north. How far is he away from his initial position?
Option 1: 23 m
Option 2: 25 m
Option 3: 26 m
Option 4: 24 m
Correct Answer: 26 m
Solution :
A man goes towards east = 24 m
Towards north = 10 m
Distance from his initial position = $\sqrt{\text{Distance toward east}^2+\text{Distance toward north}^2}$
= $\sqrt{24^2+10^2}$
= $\sqrt{576+100}$
= $\sqrt{676}$
= $26$ m
Hence, the correct answer is 26 m.
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