Double ladder

The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart?

Correct result:

h =  2.8618 m

Solution:

r=3 m a=1.8 m  h=r2−(a/2)2=32−(1.8/2)2=2.8618 m

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