Question

what is the missing length?
4 mi
v
area = 11.6 mi²

Explanation:

Step1: Recall triangle area formula

The area of a triangle is $A = \frac{1}{2} \times b \times h$, where $b$ is the base (length $v$) and $h$ is the height.

Step2: Substitute known values

Substitute $A=11.6$ and $h=4$:
$$11.6 = \frac{1}{2} \times v \times 4$$

Step3: Simplify and solve for $v$

First simplify $\frac{1}{2} \times 4 = 2$, so:
$$11.6 = 2v$$
Divide both sides by 2:
$$v = \frac{11.6}{2} = 5.8$$

Answer:

5.8 miles