A child is looking for his father. He goes 10 metres towards east and then turns to his right and goes 30 metres. From there the child again turns to his right and goes for 40 metres, where he finds his father at his uncle's place. How far is his uncle's place from the starting point of the child?
A30√5 metre
B40 metre
C40√5 metre
D30√2 metre ✓ Correct
Correct answer: (D) 30√2 metre
Explanation
The uncle's place is 30 root 2 metre from the start.
Go east 10, then a right turn faces south for 30, then a right turn faces west for 40.
Net west distance = 40 - 10 = 30 metre.
Net south distance = 30 metre.
Straight distance = root(30 x 30 + 30 x 30) = root 1800 = 30 root 2 metre.
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