Question

A ladder of 15 m long reaches a window which is 9 m above the ground on one side
of a street. Keeping its 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:

Here your answer user.

Step-by-step explanation:

Mark as Brainlies.

Answer 2

ANSWER:-

Given:

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

To find:

Find the width of the street.

EA + AC= ?

Solution:

In ∆AED

By using Pythagoras theorem:

AD² = DE² + EA²

15² = 12² + EA²

225= 144 + EA²

EA² = 225 -144

EA² = 81

EA² = 9²

EA = 9m

So,

In ∆ABC

By using Pythagoras theorem:

AB² = BC² +AC²

(15)² = (9)² + AC²

225 = 81 + AC²

AC² = 225 -81

AC² = 144

AC² = 12²

AC = 12m

Therefore,

EA + AC

=) (9 + 12)m

=) 21m

Thus,

the width of the street is 21m.

Hope it helps ☺️