Question

A ladder reaches a window which is 9 m high above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12 m high. If the ladder is 15 m in length, find the width of the street.

Answer 1

Answer:

correct answer is 21 metre

Step-by-step explanation:

In △ADC,

AD2+AC2=CD2

92+AC2=152

AC2=225−81

AC=12 m

In △BEC,

EC2=BC2+BE2

152=122+BC2

225−144=BC2

BC=9 m

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

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