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?

Result

h =  2.862 m

Solution:

r=3 m a=1.8 m  h=r2(a/2)2=32(1.8/2)22.8618 m2.862 mr=3 \ \text{m} \ \\ a=1.8 \ \text{m} \ \\ \ \\ h=\sqrt{ r^2-(a/2)^2 }=\sqrt{ 3^2-(1.8/2)^2 } \doteq 2.8618 \ \text{m} \doteq 2.862 \ \text{m}

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