Question

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

Answer 1

Answer: YOUR ANSWER

Step-by-step explanation: Let  

be the foot of the ladder. Let  

be the position of the ladder when it touches the window at  

which is  

high and  

be the position of the ladder when it touches the window at  

which is  

high.

 

Draw the required figure.

 

Step 2 of 4

Use Pythagoras Theorem in a triangle  

.

 

 

 

 

 

 

 

 

 

 

 

 

Step 3 of 4

Use Pythagoras Theorem in a triangle  

.

 

 

 

 

 

 

 

 

 

 

Step 4 of 4

Find the width of the street.

 

 

 

 

 

 

Final answer

The width of the street is  

.