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07/06/2024 · Elementary School
The path of a satellite orbiting the earth causes it to pass directly over two tracking stations \( A \) and \( B \), which are 47 miles apart. When the satellite is on one side of the two stations, the angles of elevation at \( A \) and \( B \) are measured to be \( 87^{\circ} \) and \( 84^{\circ} \), respectively. How far is the satellite from station A? How high is the satellite above the ground?
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The distance from station A to the satellite is approximately 15.66 miles, and the height of the satellite above the ground is approximately 298.5 miles.
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