Concept explainers
a.
To find: approximate distance between Minneapolis and Arkadelphia.
a.
Answer to Problem 56E
Explanation of Solution
Given information:
The latitude of Minneapolis =
The latitude of Arkadelphia =
The latitude of Alexandria =
Radius of earth
Minneapolis, Arkadelphia, and Alexandria lie on same longitude line.
Calculation:
Look at the figure to understand the angle between the Minneapolis and Arkadelphia.
The angle between Minneapolis and Arkadelphia is evaluated as follows:
The approximate distance between Minneapolis and Arkadelphia will be the arc length of the sector as shown above. The value of
Thus the approximate distance between Minneapolis and Arkadelphia is
b.
To find: approximate distance between Minneapolis and Alexandria.
b.
Answer to Problem 56E
Explanation of Solution
Given information:
The latitude of Minneapolis =
The latitude of Arkadelphia =
The latitude of Alexandria =
Radius of earth
Minneapolis, Arkadelphia, and Alexandria lie on same longitude line.
Calculation:
Look at the figure to understand the angle between the Minneapolis and Alexandria.
The angle between Minneapolis and Alexandria is evaluated as follows:
The approximate distance between Minneapolis and Alexandria will be the arc length of the sector as shown above. The value of
Thus the approximate distance between Minneapolis and Alexandria is
c.
To find: approximate distance between Arkadelphia and Alexandria.
c.
Answer to Problem 56E
Explanation of Solution
Given information:
The latitude of Minneapolis =
The latitude of Arkadelphia =
The latitude of Alexandria =
Radius of earth
Minneapolis, Arkadelphia, and Alexandria lie on same longitude line.
Calculation:
Look at the figure to understand the angle between the Arkadelphia and Alexandria.
The angle between Arkadelphia and Alexandria is evaluated as follows:
The approximate distance between Arkadelphia and Alexandria will be the arc length of the sector as shown above. The value of
Thus the approximate distance between Arkadelphia and Alexandria is
Chapter 6 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning