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If a ladder 10 m long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is

  1. 18 m

  2. 8 m

  3. 6 m

  4. 4 m

Pythagoras Theorem

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Answer

Let AB be the ladder and B be the point of window.

If a ladder 10 m long reaches a window 8 m above the ground, then the distance of the foot of the ladder from the base of the wall is? Pythagoras Theorem, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

In right triangle ACB,

By pythagoras theorem,

⇒ AB2 = AC2 + BC2

⇒ 102 = AC2 + 82

⇒ AC2 = 100 - 64

⇒ AC2 = 36

⇒ AC = 36\sqrt{36} = 6 m.

Hence, Option 3 is the correct option.

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