A ladder reaches a window 12 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 9m high. If the length of the ladder is 15m, then the width of the street is
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Answer:
height of window 1st from ground (AB)=12m
Height of ladder (AC)=15m
Let the distance between ladder and window bottom =BC
Now form the triangle ABC
Apply Pythagoras
AC^2=BC^2+AB^2
BC^2=AC^2-AB^2
BC^2=15^2-12^2
BC^2=225-144
BC^2=81
BC=√81
BC=9m
Now the height of second window (DE)=9m
Length of ladder (EC)=15m
Now apply Pythagoras
DC^2=EC^2-ED^2
DC^2=15^2-9^2
DC^2=225-81
DC^2=144
DC=√144
DC=12m
Length of street=DC+CV=12+9=21m answer
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