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On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle. Distance formula: Sta
2 answers:
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Answer:
the span of the bridge is 73.7 feet
Step-by-step explanation:
The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:
a>b
where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis
For this problem, the center of the ellipse (h,k) = (0,0)
Therefore:
The top of the arch is 20 feet above the ground level (the major axis), therefore a=20
length of the major axis = 2a= 2*20 = 40
The coordinates of the ellipse (x,y) = (28,13)
b² ≅ 1358
b≅36.85
Length of minor axis (2b) = 73.7 feet.
the span of the bridge is 73.7 feet