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Question -

A man goes 15 metres due west and then 8 metres due north. How far is he from the starting point ?



Answer -

Let a man starts from O, the starting point to west 15 m at A and then from A, 8 m due north at B
Join OB
 
Now in right ∆OAB
OB² = OA² + AB² (Pythagoras Theorem)
OB² = (15)² + (8)² = 225 + 64 = 289 = (17)²
OB = 17
The man is 17 m away from the starting point

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