Standing 22821

The heating plant sees the observer standing 26 m from the bottom of the chimney and seeing the top at an angle of 67 °. Thus, the chimney of the heating plant is how high?

Correct answer:

h =  61.2522 m

Step-by-step explanation:

$$\begin{gathered} a=26\text{m} \\ \alpha =67{}^{\circ } \\ \tan \alpha =h:a \\ h=a\cdot \tan \alpha =a\cdot \tan 67°=26\cdot \tan 67°=26\cdot 2.355852=61.252=61.2522\text{m} \end{gathered}$$

Try another example