Question

A ladder is placed against a wall such that its foot is at a distance of 5m from the wall.Its top reaches a window 5√3m above the ground.Find the length of the ladder.​

Answer 1

Correct Question :

• A ladder is placed against a wall such that it's foot is at a distance of 5m from the wall. It's top reaches a window ${5} \sqrt {3}$ m above the ground. Find the length of the ladder.

$\bf {\huge{\underline {\boxed {\sf\purple {Answer : 10\:m}}}}}$

$\textsf {\underline {\underline{Step-By-Step\:Explanation}}}$

$\huge\sf\green {Given :}$

• Distance of ladder from the wall is 5 m

• It's top reaches the window above the ground at 5 $\sqrt {3}$ m.

$\huge\sf\green {To\: Find :}$

• The length of the ladder

$\huge\sf\green {Solution :}$

By pythagoreous theorem,

${(AC)}^2 = (AB)^2 + ( BC)^2$

➡ $(AC)^2 = ( 5\sqrt {3})^2 + ( 5 )^2$

➡ $(AC)^2 = 75 + 25$

➡ $(AC)^2 = 100$

➡ $AC = \sqrt {100}$

$\therefore$ AC = 10 m

Answer : Length of the ladder is 10 m

$\huge\mathscr\red {Be\:Brainly!!!}$

Answer 2

Answer:

Given A ladder is placed against the wall such that the foot is 5 m away from the foot of the wall and The top of the ladder is 5√3 m above the ground / From the foot of the wall✓

Now we can see the from the above condition that the ladder and the wall along with make a right angle ∆ Where the angle between the wall and the ground is 90°

$now \: from \: the \: triangle \: pqt \: which \: is \: in \: the \: attachment \: we \: hve \: height \: nd \: base \: measure \:$

So A/Q we have to find the length of ladder that means we have to find the hypotenus of the ∆ PQT✓

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Let us find the hypotenus of the ∆ or the length of the ladder

Which is as follows:-

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we will use pythagoras theorem ✓

$hypotenus ^{2} = base ^{2} + height ^{2}$

$qp = \sqrt{qt ^{2} +pt ^{2} }$

$= > qp = \sqrt{5 ^{2} +( 5 \sqrt{3} ) ^{2} }$

$= > qp = \sqrt{25 + 25 \times 3} .....(because \: \sqrt{3 \: and \: square \: root \: get \: cancelled} )$

$= >qp = \sqrt{25 + 75} \\ \\ = > qp = \sqrt{100} \\ \\ = > qp = 10m \: ....(because \sqrt{100} = 10)$

So the Length of the ladder is 10 m✓