CMAT 2022 Solved Question Paper

Question : 13 of 100

Marks: +1, -0

If a

3 0

meter ladder is placed against a wall such that it just reaches the top of the wall, if the horizontal distance between the wall and the base of the ladder is

1/ 3

rd of the length of ladder, then the height of wall is :

25 meter
$20 {√{2}}$ meter
$20 {√{3}}$ meter
20 meter

Validate

Solution:

AC is ladder,

\C

is base of ladder,

\A \B

is wall
Given

{\AC}=30\m

and

{\BC}={1}/{3} \AC={1}/{3}(30)=10 \m

Applying pythagoras theorem,

\A \B^2+\B \C^2=\A \C^2

\A \B^2=30^2-10^2=800

\A \B=20 √ {2}

Answer is option B.

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