Question

A fireman’s ladder 20cm long reaches a window 12cm above the

ground in one side of the street. Keeping the foot at the same point,the

ladder is turned on the other side of the street to reach a window at a

height of 16cm.Find the width of the street​

Answer 1

Answer:

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