Given the information on the picture, we have the following right triangle:
then, we can use the trigonometric functon sine on the angle to get the following:
[tex]\begin{gathered} \sin (20)=\frac{\text{opposite side}}{hypotenuse}=\frac{x}{12} \\ \Rightarrow\sin (20)=\frac{x}{12} \end{gathered}[/tex]
solving for 'x', we get:
[tex]\begin{gathered} \frac{x}{12}=\sin (20) \\ \Rightarrow x=12\cdot\sin (20)=4.1 \\ x=4.1 \end{gathered}[/tex]
therefore, the height is x = 4.1
