Jim and Bob want to exchange secrets from across a crowded whispering gallery. (A whispering gallery is a room which, in cross section, is half an ellipse). If the room is 40 feet high at the center and 100 feet wide at the floor, how far from the outer wall should each of them stand so that they will be positioned at the foci of the ellipse?

Jim and Bob want to exchange secrets from across a crowded whispering gallery. (A whispering gallery is a room which, in cross section, is half an ellipse). If the room is 40 feet high at the center and 100 feet wide at the floor, how far from the outer wall should each of them stand so that they will be positioned at the foci of the ellipse?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: A whispering chamber is an elliptically arched chamber. A unique feature of a whispering chamber is…

Q: An elliptical riding path is to be built on a rectangular piece of property, as shown below. The…

A: The general equation of eclipse is x²/a² + y² / b² = 1

Q: hyperboloid cooling tower is 400 feet wide at its base and is 350 feet wide at its narrowest point…

Q: 200m 65m 3. The Arc de Triomphe in Paris is a semi-ellipse. If the plane is 200 m and the maximum…

A: The equation of the ellipse is x2a2+y2b2=1, where a is the length of the semi-major axis and b is…

Q: 2. Put this ellipse in standard form: 4x2 + 6y2 = 48

A: Consider the provided equation, 4x2+6y2=48 The equation write in the standard form. The standard…

Q: Find the equation on the ellipse that has its center at the origin and satisfies the conditions:…

A: We have to find the equation on the ellipse that has its center at the origin and satisfies the…

Q: An elliptical hall somewhere in Bataan is a whispering chamber. Its dimensions are 40feet wide by…

A: The dimension of the elliptic room is 40 feet wide and 88 feet long

Q: Center of the Ellipse: b. Vertices of the Ellipse: c. Foci of th

A: The equation of the ellipse is given 2x2+y2+4x-9y=7. The general form of ellipse is ,…

Q: A person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a…

A: Given that, The ceiling is half of an ellipse. the top half and the loci will be a line between…

Q: The Roman Colosseum is an ellipse with major axis 620 ft. and minor axis 514 ft. 1.Find a², b², c²…

Q: The Oval Office in the White House is in the shape of an ellipse. The office is 12 feet wide and 20…

A: oval office is in ellipse shape width of ellipse = 12 ft legth = 20 ft

Q: Draw the ellipse with the equation: 2?2 + ?2 + 4? − 9? = 7

A: Given information: 2?2+?2+4?-9?=7

Q: Find the coordinates of the foci for the following ellipse (Y+8)²/81 +(x-1)²/49

Q: Given the ellipse 25 y? =D1 16 List the coordinates of the foci.

Concept explainers

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.

Question

100%

Jim and Bob want to exchange secrets from across a crowded whispering gallery. (A whispering
gallery is a room which, in cross section, is half an ellipse). If the room is 40 feet high at the center
and 100 feet wide at the floor, how far from the outer wall should each of them stand so that they will
be positioned at the foci of the ellipse?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Ellipses$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

Activity 4 A.) An ellipse is the set of points such that the sum of distance from two fixed point constant. The two fixed points are called foci. • Use graph paper like that shown. It contains two small circles and a series of concentric circles from each. The concentric circles are tangent to each other as shown. • Choose the constant 13. Mark the points at the intersections of circle 9 and circle 4, because 9 + 4 = 13. Continue this process until you have marked the intersection of all circles whose sum is 13. || • Connect the points to form a smooth curve. The curve is an ellipse whose foci are the centers of the two small circles on the graph paper. Circles in the figure are named by letters, circle 1 is circle c, circle 2 is circle d, and so on and so forth
In the shown ellipse, the distance from the center to any of the two foci is Select one: O a. 4/3 O b. 2/3 O c. 13 O d. None
Graph the ellipse and indentify the following (x + 2)2 , v +52 . Domain: 1) 16 4 Range: Foci: 10+ -10 5 10 X
The distance between the two foci for the shown ellipse is Select one: O a. 2/15 O b. 2/3 c. 2/5 O d. 2/17 nage
3. Find the length of the axes of the ellipse defined by the equation (x-3)² (y+2)2 25 + 9 1. If necessary, round to the nearest tenth.
A whispering gallery is a room in the shape of an elliptic reflector. If a source of sound is placed at one focal point of an elliptic reflector, the sound is reflected through the other focal point. If one person speaks at one focal point, then another person at the other can hear sounds as faint as a whisper. If the whispering gallery is based on the ellipse 1-² 2 + = 1 625 576 The people will have to stand at each focus which is Blank 1 Blank 1 Add your answer units from the center. (HINT: find c).