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

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

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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

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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