Verified answer

Answer:

the answer is 12m.

Explanation:

If we draw the diagram according to the question, it is becoming right angle triangle,

As we know that we can apply the formula of Pythagoras theorem in right angle triangle ,

Pythagoras theorem is,

[tex] {H }^{2} = {P}^{2} + { B}^{2} \\ [/tex]

where H is height,

P is perpendicular

B is base

Now from the diagram, the values are coming as

H = 20m

P = 16m

B = ?

[tex] {H }^{2} = {P}^{2} + { B}^{2} \\ \\ ( {20}^{2} ) = ( {16}^{2} ) + {B}^{2} \\ 400 = 256 + {B}^{2} \\ 400 - 256 = {B}^{2} \\ 144 = {B}^{2} \\ B = \sqrt{144} \\ B = 12m[/tex]

therefore,the distance between the base of the wall and foot of the ladder is 12m.

hope it helps.

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