Q. 74.6( 12 Votes )

A ladder 10 m lon

Answer :

Given: Height of the window from the ground = 8 m

Length of the ladder = 10 m


To find: Distance of the foot of the ladder from the base of the wall.


Consider the following diagram corresponding to the question.



Here, AB = Height of the window form the ground = 8 m


AC = Length of the ladder = 10 m


BC = Distance of the foot of the ladder from the base of the wall


Now, in ∆ ABC,


By Pythagoras theorem, we have


AC2 = AB2 + BC2


BC2 = AC2 – AB2


BC2 = (10)2 – (8)2 = 100 – 64 = 36


BC = √36 = 6 m


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