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lubasha [3.4K]
2 years ago
4

Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet acros

s and its maximum height along the center will be 3 feet. The company wants to place two bright spots at the foci of the ellipse. How far from the center of the ellipse will the spots be located?

Mathematics
1 answer:
iris [78.8K]2 years ago
5 0
Draw the elliptical gate and show the foci, the width, and height as in the figure below.
Note that
a = 5 ft, the width
b = 3 ft, the height

The center is at (0,0).
The foci are at (c, 0) and at (-c, 0).

The foci are related to a and b by
c² = a² - b²
    = 5² - 3² = 16
c = +4 or -4

Answer:
The foci are located 4 ft horizontally from the center of the ellipse.

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