Concept explainers
Find the measure of
Answer to Problem 8P
Explanation of Solution
Given:
A communication satellite is in orbit 35,800 km above the equator.It completes one orbit every 24 hours , so that from Earth it appears to be stationary above a point on the equator. This point has the same longitude as Houston. The satellite’s angle of elevation from Houston.The latitude of Houston is
Formula Used:
Law of Cosine :
Law of Sine:
Calculation:
Represent the situation :
The distance between Centre of Earth and Houston is 6400 km .
The distance between Satellite and Centre of Earth is 35,800 + 6400
Let the distance between Houston and Satellite be x .
Use Law of Cosine to find x :
Use Law of Sine:
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Algebra and Trigonometry: Structure and Method, Book 2
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