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 _____________.
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=100−64AC2=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.