Chimney

The lower circumference of the chimney is 12.57 m, and the top circumference is 5.655 m. The slope of the walls is 87°. Find the height of the chimney.

Correct answer:

x =  20.9999 m

Step-by-step explanation:

$$\begin{gathered} o=2\pi r \\ {r}_1=12.57\mathrm{/}(2\pi )=2.001m \\ {r}_2=5.655\mathrm{/}(2\pi )=0.9m \\ \tan 87\mathrm{°}={\displaystyle \frac{x}{r_1-r_2}} \\ x=(r_1-r_2)\tan 87\mathrm{°}=(2.001-0.9)\tan 87\mathrm{°}=20.9999\text{ m } \end{gathered}$$

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