Mathematics

Foot of a 10 m long ladder leaning against a vertical well is 6 m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches.

Pythagoras Theorem

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Answer

Let AB be the ladder and BC be the vertical well.

So, △ABC is right triangle.

Foot of a 10 m long ladder leaning against a vertical well is 6 m away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches. Pythagoras Theorem, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

By pythagoras theorem,

⇒ AB² = BC² + AC²

⇒ 10² = BC² + (6)²

⇒ 100 = BC² + 36

⇒ BC² = 100 - 36 = 64

⇒ BC = $\sqrt{64}$ = 8 m.

Hence, the top of the ladder reaches 8 m above the wall of well.

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