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Question

A ladder 10 m long reaches a window 8 m above the ground Find that distance of the foot of the ladder from the base of the wall _____________.
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A
AC=6 m
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B
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C
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D
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Solution

The correct option is A AC=6 m
Let AB be the ladder B be the window and CB be the will Than ABC is a right triangle right angled at C
AB2=AC2+BC2∴AB2=AC2+BC2
SO 102=AC2+82102=AC2+82
OR AC2=10064AC2=100−64
OR AC2=36AC2=36
OR AC=6 m
So the foot of the ladder is at a distance of ^ m from the base of the wall.

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