An arch is in the shape of a parabola. It has a span of 108 feet and a maximum height of 6 feet.
1 answer:
The Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
<h3>Equation for parabola</h3>Using this equation to find the equation for parabola
y=a(x-54) (x+54)
y(0)=a(-54) (54)=6
-2916a=6
Divide both side by y6a
a=-2916/6
a=-486
Equation for parabola
y=-1/486 x² +6
Height of the arc 5 feet
When x=5
y=-25/486+6
y=2891/486
=5 461/486 feet
Therefore the Equation for parabola is y=-1/486 x² +6 and the height of the arc 5 feet is: 5 461/486 feet.
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