find the width of street if the length of the ladder is 15 m

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.

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Sneha

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Saturday, 28 November 2020 08:36 AM

In $? A D C$ ,
$A D^{2} + A C^{2} = C D^{2}$
$9^{2} + A C^{2} = 1 5^{2}$
$A C^{2} = 225 - 81$
$A C = 12$ m
In $? B E C$ ,
$E C^{2} = B C^{2} + B E^{2}$
$1 5^{2} = 1 2^{2} + B C^{2}$
$225 - 144 = B C^{2}$
$B C = 9$ m
Width of the road = $A C + B C$ = $12 + 9$ = 21 m

In ?ADC,AD2+AC2=CD292+AC2=152AC2=225-81AC=12 mIn ?BEC,EC2=BC2+BE2152=122+BC2225-144=BC2BC=9 mWidth of the road = AC+BC = 12+9 = 21 m

Related Questions

In $? A D C$ ,
$A D^{2} + A C^{2} = C D^{2}$
$9^{2} + A C^{2} = 1 5^{2}$
$A C^{2} = 225 - 81$
$A C = 12$ m
In $? B E C$ ,
$E C^{2} = B C^{2} + B E^{2}$
$1 5^{2} = 1 2^{2} + B C^{2}$
$225 - 144 = B C^{2}$
$B C = 9$ m
Width of the road = $A C + B C$ = $12 + 9$ = 21 m