Q. 74.0( 8 Votes )

A ladder 17

Answer :

Given: length of ladder = 17 m


Length of building = 15 m


To find: Distance of ladder from building.


Theorem Used:


Pythagoras theorem:


In a right-angled triangle, the squares of the hypotenuse is equal to the sum of the squares of the other two sides.


Explanation:



Let the building be “AB”.


The ladder be “AC”.


Now in ΔABC,


By Pythagoras theorem,


Hypotenuse2 = Base2 + Perpendicular2


AC2 = AB2 + BC2


172 = 152 + BC2


289 = 225 + BC2


BC2 = 289 – 225


BC2 = 64


BC = √64


BC = 8 m


Distance of the foot of ladder is 8 m from the building.


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