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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.
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Solution
The pictorial representation of the given problem is given below,
Pythagoras theorem states that in a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the remaining two sides.
Here, AB is the hypotenuse.
Therefore applying the Pythagoras theorem we get,
AB2 = BC2 + CA2
132 = 52 + CA2
CA2 = 132 - 52
CA2 = 144
CA = 12 m
Therefore, the distance of the other end of the ladder from the ground is 12m.
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