A 15m long ladder reached a window 12 m high from the ground on placing it against a wall at - Maths - The Triangle and its Properties

Question

A 15m long ladder reached a window 12 m high from the ground on
placing it against a wall at a distance a Find the
distance of the foot of the ladder from the wall

Sunanta Meitei · Accepted Answer

Hi!
Here is the answer to your question
The given situation can be represented as
<img src=
"https://s3mn%20mnimgs%20com/img/shared/userimages/mn_images/image/Fi%20png"
style="width: 261px; height: 198px;" alt="">
Let the distance of the foot of the ladder from the wall be
a m I e , BC = a m
Applying Pythagoras Theorem,
BC2 + AB2 = AC2 (Pythagoras
Theorem)
⇒ a2 + (12)2 =
(15 m)2
⇒ a2 = 225 –
144
⇒ a2 = 81
⇒ a = 9
Thus, the distance of the foot of the ladder from the wall is
9 m
Cheers!

A 15m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.