$\"\"$

(a)

The arch is in parabolic shape.

Consider the arch along the $\"\"$ -axis and peak along the $\"\"$ -axis.

Consider the vertex of the parabola is $\"\"$ .

The arch height is $\"\"$ , $\"\"$ .

The base wide is $\"\"$ , $\"\"$ and $\"\"$ .

The parabola equation is in the form of $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

Substitute $\"\"$ in $\"\"$ .

The equation of the parabola is $\"\"$ .

$\"\"$

(b) Find the corresponding heights for parabola equation $\"\"$ .

Substitute different values of $\"\"$ , in $\"\"$ .

Construct a table for different values of $\"\"$ .

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$\"\"$

(c) No;

Observe the heights obtained.

Compare the heights with the given heights.

The heights computed by using the model do not fit the actual heights.

$\"\"$

(a) The equation of the parabola is $\"\"$ .

(b)

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(c) No; The heights computed by using the model do not fit the actual heights.