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A ladder is kept leaning against a wall such that its tip is along the top of the wall. Length of the ladder is 13 m. The height of the wall is 12 m. What is the distance between the base of the wall and the foot of the ladder?

A ladder is kept leaning against a wall such that its tip is along the top of the wall. Length of the ladder is 13 m. The height of the wall is 12 m. What is the distance between the base of the wall and the foot of the ladder? Correct Answer 5 m

Given the length of the ladder be 13 m.

The height of the wall is 12 m

AB = 12 m,

BC = Distance between the base of the wall and the foot of the ladder

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From the figure,

From ΔABC,

AB2 + BC2 = AC2

⇒ 122 + BC2 = 132

⇒ 144 + BC2 = 169

⇒BC2 = 25

⇒ BC = 5 m

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