in the road of our locality there is a ladder of 15m length kept in such a way that it has touched millis windows at a height of 9m above the ground now kepping the foot of the ladder at the same point of thata road the ladder is rotated in such a way that it touched our window situated on the other side of the road. if our window is 12m. above the ground, then let us determine the breath of that road in our locality.
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let the width of road be x
then
in triangle ABC
by pyrgagoras theorem
bc^2=ac^2-ab^2
=100-64=36
underoot of 36 =6
therefore bc =6 m
then again consider another triangle
BCD
were bc is ladder cd is base and bd is attitude
so again by pythagoras theorem
cd =8 m
then
x(width of road)= 8+6=14meters
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