A 15 M long ladder reach a window 12m high from the ground on placing it against a wall at a distance a find the distance of the foot of the ladder from the wall
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answer is 9 metre.....
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According to the Pythagoras theorem:
The slanting ladder = hypotenuse =15m
Window = height/altitude = 12m
base = ground =?
hypotenuse ² = base ² + height²
=> 15² = base² + 12²
=> 225 = base² + 144
=> 225 - 144 = base²
=> 81 = base²
=> √81 = base
=> 9 = base
Therefore, base = 9m
The slanting ladder = hypotenuse =15m
Window = height/altitude = 12m
base = ground =?
hypotenuse ² = base ² + height²
=> 15² = base² + 12²
=> 225 = base² + 144
=> 225 - 144 = base²
=> 81 = base²
=> √81 = base
=> 9 = base
Therefore, base = 9m
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