The staircase

The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase.

Correct answer:

x =  8.2122 m

Step-by-step explanation:

$$\begin{gathered} h=3.6\text{ m } \\ \alpha =26^{\circ } \\ \sin \alpha =h:x \\ x=h\mathrm{/}\sin {\alpha }^{\circ }=h\mathrm{/}\sin 26^{\circ }=3.6\mathrm{/}\sin 26^{\circ }=3.6\mathrm{/}0.438371=8.212=8.2122\text{ m} \end{gathered}$$

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