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24. Model With Mathematics The wind tunnel at Langley Research Center in Hampton, Virginia is 30 ft tall and 60 ft wide. The entrance to the tunnel is in the shape of an ellipse that can be modeled by the equation? x² a² + y b² = 1. a. Find the value of a. Explain. b. Find the value of b. Explain. c. Write an equation of the ellipse that represents the entrance to the tunnel, assuming the center of the ellipse is at the origin. 25. Reason A scale drawing of an elliptical hot tub is shown. Write an equation to repracont

24. Model With Mathematics The wind tunnel at Langley Research Center in Hampton, Virginia is 30 ft tall and 60 ft wide. The entrance to the tunnel is in the shape of an ellipse that can be modeled by the equation? x² a² + y b² = 1. a. Find the value of a. Explain. b. Find the value of b. Explain. c. Write an equation of the ellipse that represents the entrance to the tunnel, assuming the center of the ellipse is at the origin. 25. Reason A scale drawing of an elliptical hot tub is shown. Write an equation to repracont

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Tutorial vailable Online = 1 d ces is 12? on. 2 -= 1 -= 1 ed at its ci at points ger on of able. of the ze.com PRACTICE & PROBLEM SOLVING APPLY ASSESSMENT PRACTICE 24. Model With Mathematics The wind tunnel at Langley Research Center in Hampton, Virginia is 30 ft tall and 60 ft wide. The entrance to the tunnel is in the shape of an ellipse that can be modeled by the equation x² y 27. Select all equations for ellipses that have vertical major axes. G-GPE.1.3 A.X.12₂2 DA.X²2 + a² = 1. 6² x² y² + = 1 55 a. Find the value of a. Explain. b. Find the value of b. Explain. OB. +2=1 x² 53 25 ☐C. (x - 9)² (y - 10)² + 82 120 c. Write an equation of the ellipse that represents the entrance to the tunnel, assuming the center of the ellipse is at the origin. D. (x + 7)² (y + 16)² + = 1 92 88 ☐ E. (x − 6)² (y +11)² 35 + = 1 53 25. Reason A scale drawing of an elliptical hot tub is shown. Write an equation to represent the scale drawing of the hot tub. 28. SAT/ACT What is the length of the minor axis of an ellipse with equation Ay (x - 5)² (y + 8)² 1 + = 1? 1 1 64 16 4 A 4 B8 16 D32 64 O 4 8 X -4 29. Performance Task The Oval Office in the White House in Washington, DC, is actually elliptical. Its major axis is 35 ft 10 in. long, and its minor axis is 29 ft long. 8 Part A Suppose that the president's desk chair is placed at one focus of the ellipse. How far is the chair from the wall behind it? 26. Make Sense and Persevere The Colosseum which is 188 m long and 156 m wide is an elliptical amphitheater located at the center of Rome, Italy. A backstage entrance is located at one vertex. A stage is erected at a location that corresponds to the focus that is closest to the backstage entrance. How far from the entrance is the stage? Part B If the president were to throw a tennis ball and bounce it off a wall in the Oval Office to the vice president, seated in a chair at the other focus of the ellipse, how far would the ball travel? (Assume that the path of the ball is level.) Backstage entrance SI 29 ft NO PROBLEM OF HUMAN DESTINY LESSON 9-5 Ellipses 421 Stage CO PEOPLE, FOR TH 35 ft 10 in. = Practice Tutorial Mixed Review Available Online
Transcribed Image Text:Tutorial vailable Online = 1 d ces is 12? on. 2 -= 1 -= 1 ed at its ci at points ger on of able. of the ze.com PRACTICE & PROBLEM SOLVING APPLY ASSESSMENT PRACTICE 24. Model With Mathematics The wind tunnel at Langley Research Center in Hampton, Virginia is 30 ft tall and 60 ft wide. The entrance to the tunnel is in the shape of an ellipse that can be modeled by the equation x² y 27. Select all equations for ellipses that have vertical major axes. G-GPE.1.3 A.X.12₂2 DA.X²2 + a² = 1. 6² x² y² + = 1 55 a. Find the value of a. Explain. b. Find the value of b. Explain. OB. +2=1 x² 53 25 ☐C. (x - 9)² (y - 10)² + 82 120 c. Write an equation of the ellipse that represents the entrance to the tunnel, assuming the center of the ellipse is at the origin. D. (x + 7)² (y + 16)² + = 1 92 88 ☐ E. (x − 6)² (y +11)² 35 + = 1 53 25. Reason A scale drawing of an elliptical hot tub is shown. Write an equation to represent the scale drawing of the hot tub. 28. SAT/ACT What is the length of the minor axis of an ellipse with equation Ay (x - 5)² (y + 8)² 1 + = 1? 1 1 64 16 4 A 4 B8 16 D32 64 O 4 8 X -4 29. Performance Task The Oval Office in the White House in Washington, DC, is actually elliptical. Its major axis is 35 ft 10 in. long, and its minor axis is 29 ft long. 8 Part A Suppose that the president's desk chair is placed at one focus of the ellipse. How far is the chair from the wall behind it? 26. Make Sense and Persevere The Colosseum which is 188 m long and 156 m wide is an elliptical amphitheater located at the center of Rome, Italy. A backstage entrance is located at one vertex. A stage is erected at a location that corresponds to the focus that is closest to the backstage entrance. How far from the entrance is the stage? Part B If the president were to throw a tennis ball and bounce it off a wall in the Oval Office to the vice president, seated in a chair at the other focus of the ellipse, how far would the ball travel? (Assume that the path of the ball is level.) Backstage entrance SI 29 ft NO PROBLEM OF HUMAN DESTINY LESSON 9-5 Ellipses 421 Stage CO PEOPLE, FOR TH 35 ft 10 in. = Practice Tutorial Mixed Review Available Online
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