Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 5.3, Problem 13CFU

To determine

To describe: The distances along the latitudes as you go from 0∘ at the equator to 90∘ at the poles.

Expert Solution & Answer

Explanation of Solution

Given information: Map Skills: The distance around Earth along given latitude can be found using the formula C=2πrcosL, where r is the radius of Earth and L is the latitude. The radius of Earth is approximately 3960 miles.

Calculation:

We are given the equation:

C=2πrcosL,

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.3, Problem 13CFU

As L goes from 0 to 90 degrees, the cosine value goes from 1 to 0.

At the equator with L = 0 and cos=1 the circumference is C=2πr(1) just 2πr which is the normal circumference formula and so gives us the circumference of the Earth at its largest.

As you go to the pole, L gets to 90 at the pole to give C=2πr(0)=0 which makes sense since at the top of the globe there is no circumference.

Chapter 5.3, Problem 12CFU

Chapter 5.3, Problem 14E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 5.1 - Prob. 1CFU Ch. 5.1 - Prob. 2CFU Ch. 5.1 - Prob. 3CFU Ch. 5.1 - Prob. 4CFU Ch. 5.1 - Prob. 5CFU Ch. 5.1 - Prob. 6CFU Ch. 5.1 - Prob. 7CFU Ch. 5.1 - Prob. 8CFU Ch. 5.1 - Prob. 9CFU Ch. 5.1 - Prob. 10CFU

Ch. 5.1 - Prob. 11CFU Ch. 5.1 - Prob. 12CFU Ch. 5.1 - Prob. 13CFU Ch. 5.1 - Prob. 14CFU Ch. 5.1 - Prob. 15CFU Ch. 5.1 - Prob. 16CFU Ch. 5.1 - Prob. 17CFU Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - Prob. 47E Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - 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Prob. 2GCE Ch. 5.8B - Prob. 3GCE Ch. 5.8B - Prob. 4GCE Ch. 5 - Prob. 1SGA Ch. 5 - Prob. 2SGA Ch. 5 - Prob. 3SGA Ch. 5 - Prob. 4SGA Ch. 5 - Prob. 5SGA Ch. 5 - Prob. 6SGA Ch. 5 - Prob. 7SGA Ch. 5 - Prob. 8SGA Ch. 5 - Prob. 9SGA Ch. 5 - Prob. 10SGA Ch. 5 - Prob. 11SGA Ch. 5 - Prob. 12SGA Ch. 5 - Prob. 13SGA Ch. 5 - Prob. 14SGA Ch. 5 - Prob. 15SGA Ch. 5 - Prob. 16SGA Ch. 5 - Prob. 17SGA Ch. 5 - Prob. 18SGA Ch. 5 - Prob. 19SGA Ch. 5 - Prob. 20SGA Ch. 5 - Prob. 21SGA Ch. 5 - Prob. 22SGA Ch. 5 - Prob. 23SGA Ch. 5 - Prob. 24SGA Ch. 5 - Prob. 25SGA Ch. 5 - Prob. 26SGA Ch. 5 - Prob. 27SGA Ch. 5 - Prob. 28SGA Ch. 5 - Prob. 29SGA Ch. 5 - Prob. 30SGA Ch. 5 - Prob. 31SGA Ch. 5 - Prob. 32SGA Ch. 5 - Prob. 33SGA Ch. 5 - Prob. 34SGA Ch. 5 - Prob. 35SGA Ch. 5 - Prob. 36SGA Ch. 5 - Prob. 37SGA Ch. 5 - Prob. 38SGA Ch. 5 - Prob. 39SGA Ch. 5 - Prob. 40SGA Ch. 5 - Prob. 41SGA Ch. 5 - Prob. 42SGA Ch. 5 - Prob. 43SGA Ch. 5 - Prob. 44SGA Ch. 5 - Prob. 45SGA Ch. 5 - Prob. 46SGA Ch. 5 - Prob. 47SGA Ch. 5 - Prob. 48SGA Ch. 5 - 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Problems on Area and Circumference of Circle| Basics of Circle| Questions on Circle||BrainPanthers; Author: Brain Panthers;https://www.youtube.com/watch?v=RcNEL9OzcC0;License: Standard YouTube License, CC-BY

The distances along the latitudes as you go from 0 ∘ at the equator to 90 ∘ at the poles.

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To describe: The distances along the latitudes as you go from 0∘ at the equator to 90∘ at the poles.

Explanation of Solution

Chapter 5 Solutions

Additional Math Textbook Solutions