Final answer:
The height of the triangle can be represented by the expression 2x^2 - 7 + (30 / x).
Step-by-step explanation:
The area of a triangle can be calculated using the formula: Area = (1/2) * base * height.
In the given expression x^3+ 3x^3 - 7x + 15, the base is represented by the variable 'x', and the expression represents the area of the triangle.
To find the height of the triangle, we can rearrange the formula as follows: Height = (2 * Area) / base.
In this case, the height of the triangle can be represented by the expression (2 * (x^3+ 3x^3 - 7x + 15)) / x.
Therefore, the simplified expression that can be used to represent the height of the triangle is 2x^2 - 7 + (30 / x).