Question

6. A ladder 10 m long reaches a window which is 8 m
above the ground on one side of the road, keeping its
foot at the same point, the ladder is turned to the
other side of the road to reach a window 6 m high.
What is the width of the road?
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Answer 1

Answer:

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

Step-by-step explanation: