Mathematics
A ladder 13 m long rests against a vertical wall. If the foot of the ladder is 5 m from the foot of the wall, find the distance of the other end of the ladder from the ground.
Pythagoras Theorem
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Answer
Let AB be the ladder, BC be the vertical wall and AC be the distance of the foot of the ladder from the wall.
Then, AB = 13 m, AC = 5 m
By Pythagoras theorem,
Hypotenuse2 = Perpendicular2 + Base2
In triangle ABC,
⇒ AB2 = BC2 + AC2
⇒ 132 = BC2 + 52
⇒ 169 = BC2 + 25
⇒ BC2 = 169 - 25
⇒ BC2 = 144
⇒ BC =
⇒ BC = 12 m.
Hence, the distance of the other end of the ladder from the ground is 12 m.
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