The area of a triangle can be calculated using the formula shown below:
[tex]A=\frac{bh}{2}[/tex]Where "b" is the base of the triangle and "h" is the height.
In this case you know the area of the triangle and its base. These are:
[tex]\begin{gathered} A=16.1mi^2 \\ b=7mi \end{gathered}[/tex]Then you can substitute these values into the formula:
[tex]16.1mi^2=\frac{(7mi)h}{2}[/tex]Finally, solve for "h":
[tex]\begin{gathered} (16.1mi^2)(2)=(7mi)h \\ \\ \frac{32.2mi^2}{7mi}=h \\ \\ h=4.6mi \end{gathered}[/tex]The answer is:
[tex]h=4.6mi[/tex]