A plot of land in the shape of a horizontal ellipse has a pole at each focus. the foci are 16 feet from the center. if the plot

Question

MArishka [77]

2 years ago

10

A plot of land in the shape of a horizontal ellipse has a pole at each focus. the foci are 16 feet from the center. if the plot

of land is 40 feet across one axis, how long is it across the other axis?

Mathematics

1 answer:

Leviafan [203] · Answer 1 · 2023-04-24T18:16:29+03:00

If a plot of land in the shape of a horizontal ellipse has a pole at each focus. the foci are 16 feet from the center. if the plot of land is 40 feet across one axis, how long is it across the other axis is: c. 24 feet.

<h3>Length across the other axis</h3>

Using Pythagoreans theorem formula

a²=b²+c²

Where:

c=16 feet

a=40/2=20 feet

Hence:

20²=b²+16²

b²=20²-16²

b²=400-256

b²=√144

b=12

2b=12×2

2b=24 feet

Therefore if the plot of land is 40 feet across one axis, how long is it across the other axis is: c. 24 feet.

The complete question is are:

A plot of land in the shape of a horizontal ellipse has a pole at each focus. The foci are 16 feet from the center. If the plot of land is 40 feet across one axis, how long is it across the other axis?

a. 34 feet

b. 46 feet

c. 24 feet

d. 30 feet

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