A ladder is placed against a wall in such a way that its foot is at adistance of 1.5 m from the wall and its top reaches a window 7m above the ground. find out of the ladder.
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Answer:
Ladder is placed against the wall
Distance of the foot of the ladder from the wall = 5 m
Height above the ground = 5√3 m
To find:
The length of the ladder.
Solution:
As the ladder is placed in such a position,
It forms a right angled triangle.
By applying Pythagorean theorem,
The length of the ladder is the hypotenuse.
Therefore,
( Length of ladder )^2 = ( Height above the ground )^2 + ( Distance of the foot of the ladder from the wall )^2
Substituting,
( Length of ladder )^2 = ( 5√3 )^2 + ( 5 )^2
( Length of ladder )^2 = 25 ( 3 ) + 25
( Length of ladder )^2 = 75 + 25
( Length of ladder )^2 = 100
Hence,
Length of ladder = 10 m => ANSWER
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