An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Understand the problem
The arch is in the shape of a parabola with a vertical axis. It is 10 m high and 5 m wide at the base. We need to find the width of the arch 2 m from the vertex.

### Step 2: Set up the coordinate system
We can place the vertex of the parabola at the origin (0, 0). The parabola opens upwards, and the width at the base is 5 m, which means it extends from -2.5 m to 2.5 m at the height of 10 m.

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