Question

a ladder reaches a window which is 12 m above the ground on one side of the street keeping its foot at the same point a leader is told to the other side of the street to reach a Window 9 M high find the width of the street if the length of the ladder is 15 m​

Answer 1

use pythagorus theorem to find this

Answer 2

Answer:

Step-by-step explanation:

Let ab and ed are the distances of windows from street.

bd is the width of street.

ac and ec is ladder on both sides.

Now, abc and edc are right angled triangles.

angle abc and edc asre right angles.

By Pythagoras theorem,

in triangle abc,

ac2 = ab2 + bc2

15x15 = 12x 12 + X2

225 = 144 + X2

X2 = 225 - 144

X2 = 81

X = 9

bc = 9cm.

in triangle edc,

ec2 = ed2 + cd2

15x15 = 9x9 + X2

225 = 81 +X2

X2 = 225 - 81

X2 = 144

X = 12

cd = 12cm.

bd is width of street,

bd = bc + cd

= 9 + 12

= 21cm.

The width of street is 21 cm.