Mathematics
Mathematics, 12.08.2020 07:01, StephanieQueen2003

A communications company is planning to launch a new satellite into orbit to improve the operation of its network. The longest distance that the satellite can send a reliable signal is 4,500 miles. The company is trying to determine the optimal height to operate the satellite so that it has maximum coverage of Earth within its range. A. To achieve maximum coverage of the signal across Earth, what type of line should be formed between the point where the satellite is located and the point on Earth’s surface where the signal is received? B. Create a cross-sectional diagram of this situation in GeoGebra, with the circumference of Earth, depicted as a circle (your diagram need not be drawn to scale): Create point C for the center of Earth, point S for the position of the satellite, and points P1 and P2 for the farthest points on Earth where the signal will reach. Draw a radius from C to P1 and a line segment from S to P1. Display the measure of the angle formed at their intersection. In the space provided below, note how and are related. Use the Internet or another resource to find the approximate radius of Earth, and note it in the space provided below. Then label the lengths of and. Take a screenshot of your work, save it, and insert the image below your answers. C. With the satellite directly overhead, how far above the surface of Earth does the satellite need to be so it provides the maximum coverage of its signal? Explain how you arrived at the answer.

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