a ladder 20m long reaches a window of a building 15m. above the ground.find distance of the foot of the ladder from the building.
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Answer:
Length of ladder = 20m
Height of window =15m
Let the distance of the foot of the ladder from the building be (x) m
By Pythagoras formula,
(20)^2 =(15)^2 + (x)^2
(x)^2 = (20)^2 -(15)^2
(x)^2 =400 - 225
x =√175
Or, x = 5√7
Or, x = 13.22876
Hence the distance of the foot of the ladder from the building is 5√7 or 13.22876.
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