Q15 of 27 Page 289

A person goes 24m. west from a place and then he goes 10m. north. The distance of the person from starting point is

Let the person start his journey from a point O.



The figure given above traverses his journey. Length of BO gives his distance from starting point.


It can be seen that ΔAOB is a right angled triangle because the direction axis are always perpendicular to each other.


By applying Pythagoras theorem to ΔAOB we get,


h2 = p2 + b2


⇒ BO2 = 102 + 242


⇒ BO2 = 100 + 576


⇒ BO2 = 676


⇒ BO = √676 = 26 m


Thus, he is 26 m away from starting point.

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