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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Question

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.

KnowledgeBoat · Accepted 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.

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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