Concept explainers
To calculate: The radius of the Earth if a satellite which is
Answer to Problem 63E
The radius of the earth is
Explanation of Solution
Given information:
From a satellite which is
Formula used:
The trigonometric ratios for a right angle triangle are defined as,
Calculation:
Consider the provided information that from a satellite which is
Construct a hypothetical diagram of the above situation, a right angled triangle. E is the center of earth. S is the point where satellite is placed. ST is distance from earth to satellite. The angle S is
Observe that in the right triangle
Recall that the trigonometric ratios for a right angle triangle are defined as,
Apply it, to estimate the value of trigonometric ratios,
The value of sine function is,
Now,
Simplify it further as,
Thus, the radius of the earth is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th 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