Q156 of 158 Page 159

Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet.

Given:


Two poles of 10 m and 15 m


Distance between the tops is 13 m


Formula Used/Theory:-


Pythagoras theorem:-


Base2 + Height2 = Hypotenuse2


Difference between height of poles(Height) = 15m-10m = 5m


Distance between their tops is (Hypotenuse) = 13m


Distance by which poles are separated(Base)


Base2 + Height2 = Hypotenuse2


Base2 + 52 = 132


Base2 + 25 = 169


Base2 = 169-25 = 144


Base = √144 = 12m


Hence; poles are separated by 12m


Result:- poles are separated by 12m


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