A communication company is planning to launch a new satellite into orbit to improve their network. The range of communication for their satellite is 4,500 miles. They know that the approximate radius of the earth is 3,960 miles. The company is trying to determine what height to put the satellite at so that it has maximum coverage of the earth. Determine at what height about the surface of the earth the satellite needs to be placed.
To the nearest mile, the satellite needs to be placed at a height of
miles above the earth.