Solve the problem.
-The reflective property of an ellipse is the principle behind "whispering galleries". These are rooms with elliptically shaped ceilings such that a person standing at one focus can hear even the slightest whisper spoken
By another person standing at the other focus.
Suppose that a dome has a semielliptical ceiling, 94 ft long and 22 ft high. Approximately how far from
The center along the major axis should each person be standing to hear the "whispering" effect?
Round to one decimal place.
A) 25.0 feet
B) 41.5 feet
C) 91.4 feet
D) 51.9 feet

Question

Quizplus · Accepted Answer

The distance from the center to each focus of an ellipse is given by the formula c = sqrt(a^2 - b^2), where a is the semi-major axis and b is the semi-minor axis. Here, a = 94/2 = 47 ft and b = 22 ft. Calculating c gives approximately 41.5 feet.

Solve the Problem. -The Reflective Property of an Ellipse Is the Principle Behind