Q. 34.3( 109 Votes )

A 15 m long ladder reached a window 12 m high form the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.


Answer :

It is given in the question that,


Length of ladder = 15 m


Height of ladder = 12 m


We have to find the distance of the foot of the ladder from the wall


Let the distance be a


According to Pythagoras theorem,


In a right angled triangle:


(Hypotenuse)2 = (Perpendicular)2 + (Base)2


By applying Pythagoras theorem in the given question, we get:


(15)2 = (12)2 + (a)2


225 = 144 + (a)2


(a)2 = 225 - 144


(a)2 = 81


Hence,


a =


a = 9 m


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