Question

A ladder is placed with a foot at a distance of 6m from a wall and it's top reaches 8m above the floor. find length. class 8

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Answer 1

Before, finding the answer. Let's find out what we have to find in this answer.

• In this question, we are asked to find the length of the wall.

_____________________

Given :

• Top length = 8 m
• Foot at a distance of = 6 m

To find :

• length

Steps :

• Here, the Pythagoras theorem is being used.

Solution :

⇒ Let's find the length.

Pythagoras Theorem = √a² + b²

                                   = √6² + 8²

                                   = √36 + 64

                                   = √100

⇒ Now, let's find the Square Root of 100.

${ \begin{array}{c|c} \sf 5 & \sf{ 100} \\ \cline{1-2} \sf 5 & \sf {20} \\ \cline{1-2} \sf 2 & \sf{ 4 \\ \cline{1-2} \sf 2 & \sf{2} \\ \cline{1-2} \sf & \sf{ 1} \end{array}}$

100 = 5 × 5 × 2 × 2

      = 5² × 2²

      = 5 × 2

      = 10

So,

                                 = 10

Therefore, the length of the wall is 10 m.