The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 55 km apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 86.4° and 83.2°, respectively.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 55 km apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 86.4° and 83.2°, respectively.

The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B,
which are 55 km apart. When the satellite is on one side of the two stations, the angles of elevation
at A and B are measured to be 86.4° and 83.2°, respectively.
83.2°
86.4°
B
A
NOTE: The picture is NOT drawn to scale.
How far is the satellite from station A?
distance from A =
km
How high is the satellite above the ground?
helght =
km
Enter your answer as a number; your answer should be accurate to 2 decimal places.
Transcribed Image Text:The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 55 km apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 86.4° and 83.2°, respectively. 83.2° 86.4° B A NOTE: The picture is NOT drawn to scale. How far is the satellite from station A? distance from A = km How high is the satellite above the ground? helght = km Enter your answer as a number; your answer should be accurate to 2 decimal places.
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