The double ladder

The double ladder has 3 meters long shoulders. What is the height of the upper of the ladder reach if the lower ends are 1.8 meters apart?

Correct result:

x =  2.8618 m


a=3 m b=1.8/2=910=0.9 m  a2=b2+x2 x=a2b2=320.92=2.8618 m

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