Question
Download Solution PDFA man went 15 km towards North, then turned East and covered 15 km and turned to the left. Again after 15 km he turned to the right and covered 15 km to reach the destination. How far and in which direction is he from his starting point?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A man went 15 km towards North
Then turned East and covered 15 km
Then turned to the left.
Again after 15 km he turned to the right and covered 15 km to reach the destination.
So, by applying the Pythagoras theorem :
(AE)2 = (AC)2 + (CE)2
(AE)2 = (15)2 + (15)2
(AE)2 = 225 + 225
AE = √450
AE = 15√2 km
AE = EB
Therefore,
AB = 2(AE)
AB = 2(15√2)
AB = 30√2 km
Thus, from the starting point the man 30√2km far in the North-east direction.
Hence, the correct answer is "Option - (4)".
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