To find the height of the triangular sandwich, we can use the formula for the area of a triangle:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, the area is given as 7 square inches and the base is 4 inches. Let \( h \) be the height. We can plug in the values:
\[ 7 = \frac{1}{2} \times 4 \times h \]
Now, simplify the equation:
\[ 7 = 2h \]
Next, solve for \( h \) by dividing both sides by 2:
\[ h = \frac{7}{2} = 3.5 \]
Thus, the height of the sandwich is 3.5 inches.
The correct response is: 3.5 inches.