Solve the problem.
-A rectangular board is 8 by 20 . How far from the center of the board will the foci be located to determine the largest elliptical tabletop? Round your answer to the nearest tenth.
A) 9.2
B) .8
C) 4.0
D) 6.0

Question

Quizplus · Accepted Answer

The foci are located at the ends of the major axis, which is the longest diameter of the ellipse. The major axis is perpendicular to the minor axis, which is the shortest diameter of the ellipse. The center of the ellipse is the midpoint of the major axis. The distance from the center of the ellipse to a focus is half the length of the major axis. The length of the major axis is 20 + 8 = 28. Therefore, the distance from the center of the ellipse to a focus is 28/2 = 14. Rounding to the nearest tenth, the distance from the center of the board to the foci is 14.1.

Solve the Problem. -A Rectangular Board Is 8 by 20 . How Far