Question : A man goes 24 m due west and then 10 m north. Then, his distance from the starting point is:
Option 1: 17 m
Option 2: 26 m
Option 3: 28 m
Option 4: 34 m
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Correct Answer: 26 m
Solution :
Let the man start from point A.
From the figure, as a man travels 24 m west, AB = 24 m
Also, as man travels 10 m north, BC = 10 m
Since ABC is a right-angled triangle at B,
AB
2
+ BC
2
= AC
2
⇒ 24
2
+ 10
2
= AC
2
⇒ 26
2
= AC
2
Distance between final and starting point, AC = 26 m.
Hence, the correct answer is 26 m.
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