Question

A ladder 20 m long rests against a house at one side of a road at an angle of 30° with
the house. When it is turned so that it rests against another house on the other side
of the road, it makes an angle of 45° with the house. Find the width of the road.
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Answer 1

Answer:

cos 30=x/20

√3/2=x/20

10√3=x

cos 45=y/20

1/√2=y/20

y=10√2

x+y=10(√2+√3)

hence the width is 10(√2+√3)