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An arch is in the from of a parabola wit...

An arch is in the from of a parabola with its axis vertical. The arch is 12 m high and 6 m wide at the base. How wide is it 6 m from the vertex of the parabola ?

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To solve the problem step-by-step, we will follow a structured approach: ### Step 1: Understand the Problem We have a parabolic arch that is 12 m high and 6 m wide at its base. We need to find out how wide the arch is at a height of 6 m from the vertex. ### Step 2: Set Up the Coordinate System 1. Place the vertex of the parabola at the origin (0, 0). 2. The parabola opens upwards, and the height of the arch at its highest point (12 m) will be at the point (0, 12). ...
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