A fireman's ladder 20 cm long reaches a window 12 cmn above the ground in one side of the street. Keeping the foot at the same point, the ladder is turned on the other side of the streer to reach a window at a height of 16 cm. Find the width of the street.
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Step-by-step explanation:
(20)² = (16)² + (Width)²
400 - 256 = (Width)²
144 = (Width)²
√144 = Width
12cm = Width
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Step-by-step explanation:
case 1 (window at 12cm height)
distance between the foot of the ladder and the wall (d1) = √20^2-12^2 ( Pythagoras theorem )
d1 = 16 cm
case 2 ( window at height of 16cm )
distance between the foot and the wall (d2) = √20^2 - 16^2
d2 = 12cm
width of the street = d1 + d2
width = 16 + 12 cm
width = 28 cm
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