Question

A ladder of length 15 feet reaches a window which is 12 feet above the ground. Keeping the foot of
Se ladies at the same place, the ladder is turned to the other side of the street so that it just
zachs a window which is 9 feet above the ground. Find the width of the street.​

Answer 1

In△ADE

$a {d}^{2} + a {c}^{2} \: = \: 1 {5}^{2}$

${9}^{2} + a {c}^{2} = 1 {5}^{2}$

$a {c}^{2} = 225 - 81$

$ac = 12m$

In△BEC,

$e {c}^{2} = b c^{2} + b {e}^{2}$

$1 {5}^{2} = 1 {2}^{2} + b {c}^{2}$

$225 - 144 = b {c}^{2}$

$bc = 9m$

$width \: of \: the \: road \: = ac + bc = 12 + 9 = 21m$