Find the width of street, if the length of the ladder is 15 m.

A ladder reaches a window which is 12 m above the ground on one side of the street. Keeping its foot of the same point, the ladder is turned to the other side of the street to reach a window 9 m high.

Sneha

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Saturday, 28 November 2020 08:36 AM

$AD_{2}+AC_{2}=CD_{2}$

$9_{2}+AC_{2}=15_{2}$

$AC_{2}=225-81$

$AC=12$ m

In $?BEC$,

$EC_{2}=BC_{2}+BE_{2}$

$15_{2}=12_{2}+BC_{2}$

$225-144=BC_{2}$

$BC=9$ m

Width of the road = $AC+BC$ = $12+9$ = 21 m