Question

A ladder 13 m long reaches a window which is 12 m above the
ground on one side of the street. Keeping its foot at the same
point, the ladder is turned to other side of the street to reach a
window of 5 m high. Find the width of the street.​

Answer 1

Answer:

Length of ladder =13 m.

BC=12m,AC=13 m.

In ΔABC,

AB ^2 +BC ^2=C^2

(Pythagoras theorem)

AB ^2 =AC ^2 −BC ^2

=13 ^2 −12 ^2

=169−144

=25

∴AB=5 m.

∴ The distance of the foot of the ladder from the base of the wall =5 m