The path of a satellite orbiting the earth passes directly over two tracking stations A and B, 55 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0° and 84.2°, respectively, as shown in the following figure. 87.0° 84.2° A B (a) How far is the satellite from station A? (Round your answer to the nearest mile.) mi (b) How high is the satellite above the ground? (Round your answer to the nearest mile.) mi

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 passes directly over two tracking stations A and B, 55 mi apart. When the satellite is on
one side of the two stations, the angles of elevation at A and B are measured to be 87.0° and 84.2°, respectively, as shown in the
following figure.
87.0°
84.2°
A
B
(a) How far is the satellite from station A? (Round your answer to the nearest mile.)
mi
(b) How high is the satellite above the ground? (Round your answer to the nearest mile.)
mi
Transcribed Image Text:The path of a satellite orbiting the earth passes directly over two tracking stations A and B, 55 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0° and 84.2°, respectively, as shown in the following figure. 87.0° 84.2° A B (a) How far is the satellite from station A? (Round your answer to the nearest mile.) mi (b) How high is the satellite above the ground? (Round your answer to the nearest mile.) mi
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