A 15m long ladder reaches a window 12m high from the ground on placing it against a wall.How far is the foot of the ladder from the wall?
Answers
Answered by
577
By Pythagoras theorem,
(15)²=(12)²+distance ²
225=144+distance ²
225-144=81=distance²
√81=distance
9 = distance
Wall is far away from the ladder by 9 metre
I hope this much will help you
(15)²=(12)²+distance ²
225=144+distance ²
225-144=81=distance²
√81=distance
9 = distance
Wall is far away from the ladder by 9 metre
I hope this much will help you
Answered by
107
Given :
A 15m long ladder reaches a window 12m high from the ground on placing it against a wall.
To Find :
The distance between the ladder and wall on the ground.
Solution :
Let AB be the ladder and BC be the wall.
B is the position of the wall.
∵ the length of AB = 15 meter
and the length of BC = 12 meter
By Pythagoras Theorem :
In ΔABC, ∠C = 90°
(AB)² = (BC)² + (AC)²
(15)² = (12)² + (AC)²
AC² = 15² - 12²
AC² = 225 - 144
AC² = 81
AC = √81
AC = 9 meter
1 meter = 3.2808 foot
9 meter = 29.527 ≈ 29.53 foot
The distance of the ladder from the wall would be 29.53 foot or 9 meter.
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