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Question 157 (i)

The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground

Find the length of the ladder.

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Solution

Let the length of the ladder be x m

In right angled ΔABC,
AC2=AB2+BC2 [by Pythagoras theorem]
(x)2=(8)2+(6)2=(8)2+(6)2=64+36=100x=10 m
Hence, the length of the ladder is 10 m


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