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QUESTION 42 A "whispering room" is one with an elliptically-arched ceiling. If someone stands at one focus of the ellipse and whispers something to his friend, the dispersed sound waves are reflected by the ceiling and concentrated at the other focus, allowing people across the room to clearly hear what he said. Suppose such gallery has a ceiling reaching twenty five feet above the 10-foot-high vertical walls at its tallest point (so the cross-section is half an ellipse topping two vertical lines at either end), and suppose the foci of the ellipse are 40 feet apart. What is the height of the ceiling above each "whispering O A. 24.3 ft O B.23.8 ft O C. 25.9 ft O D. 22.3 ft OF 25 20

QUESTION 42 A "whispering room" is one with an elliptically-arched ceiling. If someone stands at one focus of the ellipse and whispers something to his friend, the dispersed sound waves are reflected by the ceiling and concentrated at the other focus, allowing people across the room to clearly hear what he said. Suppose such gallery has a ceiling reaching twenty five feet above the 10-foot-high vertical walls at its tallest point (so the cross-section is half an ellipse topping two vertical lines at either end), and suppose the foci of the ellipse are 40 feet apart. What is the height of the ceiling above each "whispering O A. 24.3 ft O B.23.8 ft O C. 25.9 ft O D. 22.3 ft OF 25 20

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 42 A "whispering room" is one with an elliptically-arched ceiling. If someone stands at one focus of the ellipse and whispers something to his friend, the dispersed sound waves are reflected by the ceiling and concentrated at the other focus, allowing people across the room to clearly hear what he said. Suppose such gallery has a ceiling reaching twenty five feet above the 10-foot-high vertical walls at its tallest point (so the cross-section is half an ellipse topping two vertical lines at either end), and suppose the foci of the ellipse are 40 feet apart. What is the height of the ceiling above each "whispering O A. 24.3 ft O B. 23.8 ft O C. 25.9 ft O D. 22.3 ft O E. 25,2 ft
Transcribed Image Text:QUESTION 42 A "whispering room" is one with an elliptically-arched ceiling. If someone stands at one focus of the ellipse and whispers something to his friend, the dispersed sound waves are reflected by the ceiling and concentrated at the other focus, allowing people across the room to clearly hear what he said. Suppose such gallery has a ceiling reaching twenty five feet above the 10-foot-high vertical walls at its tallest point (so the cross-section is half an ellipse topping two vertical lines at either end), and suppose the foci of the ellipse are 40 feet apart. What is the height of the ceiling above each "whispering O A. 24.3 ft O B. 23.8 ft O C. 25.9 ft O D. 22.3 ft O E. 25,2 ft
QUESTION 43 Satellites can be put into elliptical orbits if they need only sometimes to be in high- or low-earth orbit, thus avoiding the need for propulsion and navigation in low-earth orbit and the expense of launching into high-earth orbit. Suppose a satellite is in an elliptical orbit, with a = 5420 and b = 5300, and with the center of the Earth being at one of the foci of the ellipse. Assuming the Earth has a radius of about 3960 miles, find the lowest and highest altitudes of the satellite above the Earth. O A. 435.6 miles, 2156.3 miles O B. 231.5 mile, 2509.1 miles O C. 325.8 miles, 2594.2 miles O D. 300.5 miles, 3021.2 miles O E. 550.2 miles, 2401.8 miles
Transcribed Image Text:QUESTION 43 Satellites can be put into elliptical orbits if they need only sometimes to be in high- or low-earth orbit, thus avoiding the need for propulsion and navigation in low-earth orbit and the expense of launching into high-earth orbit. Suppose a satellite is in an elliptical orbit, with a = 5420 and b = 5300, and with the center of the Earth being at one of the foci of the ellipse. Assuming the Earth has a radius of about 3960 miles, find the lowest and highest altitudes of the satellite above the Earth. O A. 435.6 miles, 2156.3 miles O B. 231.5 mile, 2509.1 miles O C. 325.8 miles, 2594.2 miles O D. 300.5 miles, 3021.2 miles O E. 550.2 miles, 2401.8 miles
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