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. 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? 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.) 29 ft ME FOR THE 35 ft 10 in. No PROBLEM HUMAN OF

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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29 please 

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
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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