Question

A ladder 13 m long touches a point on a wall which is 12 m above the ground. Find the distance between the foot of the ladder and base of the wall.

Answer 1

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Here is your answer.
Length of ladder = 13 m

Height of wall = 12 m

Let the distance between the foot of the ladder and the base of the Wall is x m

Hence By using Pythagoras Theorem
$x {}^{2} + (12) {}^{2} = (13) {}^{2} \\ x {}^{2} + 144 = 169 \\ x {}^{2} = 169 - 144 \\ x {}^{2} = 25 \\ x = \sqrt{25} \\ x = 5 \: m$
So The distance is 5 m
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