Double ladder

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

Correct answer:

h =  2.8618 m

Step-by-step explanation:

$$\begin{gathered} r=3\text{m} \\ a=1.8\text{m} \\ h=\sqrt{r^2-(a/2{)}^2}=\sqrt{3^2-(1.8/2{)}^2}\text{m}=2.8618\text{m} \end{gathered}$$

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