An arch is in the form of a semi–ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.

Explanation

To solve the problem step by step, we will follow the mathematical approach to find the height of the arch at a point 1.5 m from one end of the semi-ellipse.

### Step 1: Understand the dimensions of the semi-ellipse
The semi-ellipse is 8 m wide and 2 m high at the center. This means:
- The total width (major axis) is 8 m, so the semi-major axis \( A = \frac{8}{2} = 4 \) m.
- The height (semi-minor axis) is 2 m, so the semi-minor axis \( B = 2 \) m.

### Step 2: Write the equation of the semi-ellipse
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