Respuesta :
Answer:
a=20
b=12.5
c=15.61
Step-by-step explanation:
FINDING a
This is a horizontal ellipse because the width of the park is more than its length. length of the major axis = 40 meters a = length of the semi-major axis = 1/2 x 40
    = 20
FINDING b
The length of the minor axis is 25 meters.
  b = length of the semi-minor axis
   = 1/2 x 25
FINDING C
We know that a2 − b2 = c2.
So, c2 = 202 −12.52
      = 400 − 156.25
    c2 = 243.75
    c  15.61
The distance is about 15.61 meters.
The distance is about 15.61 meters.
To find the distance between two swings.
What is ellipse?
A regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base. A closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a constant.
Given that:
This is a horizontal ellipse because the width of the park is more than its length.
Length of the major axis=2a
Length of the semi-major axis=2a/2=a
So, length of the major axis = 40 meters
Length of the semi-major axis = 1/2 x 40
                          = 20
Length of the minor axis =2b
length of the semi-minor axis=2b/2=b
So, length of the minor axis is 25 meters.
Length of the semi-minor axis = 1/2 x 25
                        =25/2
So, to find the focus(c).
We know that [tex]c^{2} =a^{2} -b^{2}[/tex]
     [tex]c^{2} = 202-12.52 \\\\c^{2} = 400 - 156.25 \\\\\\\ c^{2} = 243.75\\\\\\c=\sqrt{243.75} \\\\\\c=15.61 m[/tex]
Therefore, the distance is about 15.61 meters.
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