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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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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