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Q.

A ladder 10 cm long just reaches the top of a building 8 cm high from the ground, then the distance of the foot of the ladder from the building,


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a

2cm

b

4cm

c

6cm

d

8cm 

answer is C.

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Detailed Solution

Given  figure,
Question ImageThe ladder, building, and ground form a right anle triangle.
The Pythagoras Theorem is given as,
Hypotenuse 2 = Base 2 + Perpendicular 2  
Using the  Pythagoras theorem in the triangle ADC,
A D 2 +A C 2 =C D 2 8 2 +A C 2 = 10 2 A C 2 =36 AC=±6    Since, length cannot be negative, therefore, the distance of the foot of the ladder from the building is 6cm.
Therefore, option 3 is correct.
 
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