1. A communication satellite orbits Earth t miles above the surface. Assume the radius of the earth is 3960 miles. The satellite can only "see" a portion of the earth's surface which can be described by a two-dimensional cross section like the one drawn below. center of Earth Satellite t a. Find a formula for angle x in terms of t. b. If t = 1,000 miles, what is x? (There could be multiple angles that solve your equation - how do you know that you found the correct value of x?) What percentage of the earth's circumference is covered by the satellite? How many satellites would be needed to cover the earth's circumference at a minimum? c. Suppose you wanted to put a satellite into orbit so that 40% of its circumference is covered by a satellite. What would the required distance of t need to be