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.

Hi!
Here is the answer to your question.
The given situation can be represented as
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!

  • 18

Required distance = root of (152 - 122)  (Use Pythogorean theorem)

 = root of (225 - 144)

= root of (81)

= 9 m.

  • 3
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