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 answer:

h =  2.8618 m

Step-by-step explanation:

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

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