15. Solve the following problems from the last section of the Nine Chapters: (a) A square, walled city measures 200 paces on each side. Gates are located at the centers of each side. If there is a tree 15 paces from the east gate, how far must a man travel out of the south gate to be able to see the tree? A 200 B 15 E F 100 H D G (b) A square, walled city of unknown dimensions has four gates, one at the center of each side. A tree stands 20 paces from the north gate. A man walks 14 paces southward from the south gate and then turns west and walks 1775 paces before he can see the tree. What are the dimensions of the city? 20 B H E D C | 14 1775 F

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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15. Solve the following problems from the last section of
the Nine Chapters:
(a) A square, walled city measures 200 paces on
each side. Gates are located at the centers of
each side. If there is a tree 15 paces from the
east gate, how far must a man travel out of
the south gate to be able to see the tree?
A
200
B
15
E
F
100
H
D
G
(b) A square, walled city of unknown dimensions
has four gates, one at the center of each side.
A tree stands 20 paces from the north gate. A
man walks 14 paces southward from the south
gate and then turns west and walks 1775
paces before he can see the tree. What are the
dimensions of the city?
20
B
H
E
D
C
| 14
1775
F
Transcribed Image Text:15. Solve the following problems from the last section of the Nine Chapters: (a) A square, walled city measures 200 paces on each side. Gates are located at the centers of each side. If there is a tree 15 paces from the east gate, how far must a man travel out of the south gate to be able to see the tree? A 200 B 15 E F 100 H D G (b) A square, walled city of unknown dimensions has four gates, one at the center of each side. A tree stands 20 paces from the north gate. A man walks 14 paces southward from the south gate and then turns west and walks 1775 paces before he can see the tree. What are the dimensions of the city? 20 B H E D C | 14 1775 F
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