Respuesta :

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]

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