Question

Top of the ladder rest along a wall at a height of 3.2cm from the ground It's lower end is at a distance of 2.4m from the wall. find the length of the ladder

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Answer 1

Answer:

4 m

Step-by-step explanation:

Firstly , imagine the scenario to be a triangle , wherein the ladder is the hypotenuse .

Therefore , given :—

Base = 2.4 m

Height = 3.2 m

Hypotenuse = √(2.4)²+(3.2)²

= √5.76+10.24

= √16

= 4 m

Answer 2

Answer :-

• let AC is the distance from the ground where ladder touches the wall.
• and BC is the distance between wall and ladder
• and AB is the Length of the ladder

it is form of a right angled triangle,in which

• AC = perpendicular = 3.2 m
• BC = base = 2.4 m
• AB = hypotenuse = x m

now, by using Pythagoras theorem

$\bold{ {AB}^{2} = {AC}^{2} + {BC}^{2} } \\ \\ \bold{: \implies {x}^{2} = {3.2}^{2} + {2.4}^{2} } \: \: \: \\ \\ \bold{: \implies {x}^{2} = 10.24 + 5.76} \\ \\ \bold{: \implies {x}^{2} = 16 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \sqrt{16} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = 4 \:} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, AC = 4 m

hence, length of the ladder is 4 m