Concept explainers
To find: the angle of depression from the satellite to horizon.
Answer to Problem 27E
The angle of depression from the satellite to the horizon is
Explanation of Solution
Given information:
A global positioning system satellite orbits 12500 miles above Earth’s surface. Assume the radius of Earth is 4000 miles.
Calculation:
Assume that a Global Positioning system satellite orbits 12500 miles above Earth’s surface.
Since the sine of the angle is given by the ratio of the length of the perpendicular to the hypotenuse, therefore in
Put the values
Thus
Therefore, the angle of depression is
Thus, the angle of depression from the satellite to the horizon is
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- 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