Question

a ladder of length 12m leaning on the wall.take a point from the bottom of the ladder at a distance of 3m what is the locus of p

Answer 1

Answer:

9m

Step-by-step explanation:

Let AC be the ladder and A be the window.

Given: AC=15m, AB=12m, CB=am

In right angled triangle ACB,

(Hypotenuse)  

2

=(Base)  

2

+[Perpendicular)  

2

 [By Pythagoras theorem]

⇒(AC)  

2

=(CB)  

2

+(AB)  

2

 

⇒(15)  

2

=(a)  

2

+(12)  

2

 

⇒225=a  

2

+144

⇒a  

2

=225−144=81

⇒a=  

81

​

=9cm

Thus, the distance of the foot of the ladder from the wall is 9m.