a ladder, leaning against the wall, makes an angle of 45° with the wall. How long is the ladder if its foot is 3½ m from the wall?
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Answer:
Let the ladder be AC Distance of foot from the wall be BC.
Angle = 45°
Distance of foot from the wall is 3.5m
Now ,
Sin45° = BC/AC
i.e. 1/√2 = 3.5 / AC
i.e. AC = 3.5√2 m
Therefore the length of ladder is 3.5√2 m
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