Question

a ladder 37 metre long reaches a window which is 12 metre 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 at a height of 35 metre. find the width of the street.​

Answer 1

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