To calculate: The latitude of
As a result, the angle at which the circumference equals half the radius is
Given information: The formula for calculating a circle's circumference is
Calculation:
Divide the formula for circumference by
Half distance around the equator
To get the latitude where the circle's circumference is half its equatorial distance, apply trigonometric characteristics.
Since the angle is formed by the radius of the circle of latitude's adjacent line and the hypotenuse, which is also the radius of the Earth, use
Equating the known values together before solving for the angle
Replace with the known values. Given that the circumference of the latitude should be half that of the Earth, the following formula can be used to solve the problem
Substitute
Dive both side by
Using a calculator to solve
As a result, the angle at which the circumference equals half the radius is
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education