Question

A ladder of 15m long reaches a window which is 9 m above the ground on one side of a street.Keeping it's foot at the same point,the ladder is turned to other side of the street to reach a window of 12 m high... Find the width of the street.​

Answer 1

Answer:21 m

Step-by-step explanation:In △ADC,

AD  

2

+AC  

2

=CD  

2

 

9  

2

+AC  

2

=15  

2

 

AC  

2

=225−81

AC=12 m

In △BEC,

EC  

2

=BC  

2

+BE  

2

 

15  

2

=12  

2

+BC  

2

 

225−144=BC  

2

 

BC=9 m

Width of the road = AC+BC = 12+9 = 21 m