Unit Activity. Circles With and Without Coordinates e o 5 of 3 I Ta5k1 El Print Satellite Placement A communications company is planning to launch a new satellite into orbit to improve the operation ofits 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. You will use the GeoGebra geometry tool to model and solve this problem. Open GeoGebra E, and complete each step below. lfyou need help, follow these instructions E for using GeoGebra. Part 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 I L! X' X: FontSizesv v!v E To achieve maximum coverage of the signal across Earth, at tangent line should be formed between the point where the satellite is located and the point on Earth's surface where the signal is received. Characters used: 200 I 15000 Part 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): 1. Create point Cfor the center of Earth, point 5 for the position of the satellite. and points P1 and P2 for the farthest points on Earth where the signal will reach. 2. Draw a radius from Cto 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 CP1 and 5P1are related. 3. Use the Internet or another resource to nd the approximate radius of Earth, and note it in the space provided below. Then label the lengths of 51am! $1, Take a screenshot ofyourwork, save it, and insert the image below your answers. III I: u u M II II n u CP1 and SP1 are perpendicular. Their slopes are reciprocals of each other. approximate radius of Earth = 6,378 km, or approx. 3,963 miles Characters used: 138 I 15000 Part 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. Characters used: 365 I 15000