Hello! First, let's draw the situation to understand it better:
With this draw, we can see that this is a right triangle, which can be solved using some trigonometry. To solve the height, we must use the tangent:
[tex]\begin{gathered} \tan (12)=\frac{\text{opposite}}{\text{adjacent}} \\ \\ \frac{0.213}{1}=\frac{height}{2000} \\ \\ \text{height = 2000}\cdot0.213 \\ \text{height }\cong\text{ 426 feet} \end{gathered}[/tex]
Observation: I used the value of 0.123 for the tangent of 12º. You can check it in the table below:
