Question

1. A pole which is 15m long rests with its bottom end 9m away from the
base of a wall. What height of the wall does the pole reach?​

Answer 1

Answer:

A ladder 15m long reaches a window which is a 9m 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 12m high. Find the width of the street.

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