Math, asked by mojahidulislamshakil, 2 months ago

A 4 m ladder rests against a vertical wall with its foot 2 m from the
wall. How far up the wall does the ladder reach?​

Answers

Answered by itzcottoncandy65
5

Hope the pic helps you...

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Answered by deepakkumar9254
3

Answer :-

◍ The height of the wall is 2√3 m.

Correct Question :-

A 4 m ladder rests against a vertical wall with its foot 2 m away from the wall. How far up the wall does the ladder reach?

Given :-

✧ Length of the ladder = 4m

✧ The distance between the foot of the ladder and the wall = 2m

To find :-

・The height of the wall

Solution :-

Diagram of the solution is in the attachment.

In the diagram,

AB = Ladder = Hypothenuse

AC = The distance between the foot of the ladder and the wall = Base

BC = Height of the wall = Perpendicular

We will use the Pythagoras theorem to find the height of the ladder.

\star According to Pythagoras Theorem,

→ In a right angled triangle the square of hypotenuse is equal to the sum of square of other two sides.

\mapsto\boxed{\tt{ {(Hypothenuse)}^{2} ={(Base)}^{2}+ {(Perpendicular)}^{2} }}

Substituting the value we have,

=> (AB)² = (AC)² + (BC)²

=> (4m)² = (2m)² + (BC)²

=> 16m² = 4m² + (BC)²

=> 16m² - 4m² = (BC)²

=> 12m² = (BC)²

\tt{=>\sqrt{12{m}^{2}} = BC}

=> 2√3 m = BC

The height of the wall = 2√3 m

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