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.

By pythagoras theorem,
⇒ AB2 = BC2 + AC2
⇒ 102 = BC2 + (6)2
⇒ 100 = BC2 + 36
⇒ BC2 = 100 - 36 = 64
⇒ BC = = 8 m.
Hence, the top of the ladder reaches 8 m above the wall of well.
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