An Earth~ohserving sateilite can see only a portion of the Earth's surface. The satellite has horizon sensors that can direct the angle I? shown in the accompanying gure. Let 7' he the radius ofthe Earth (assumed spherical) and h the distance of the satellite from the Earth's surface. I vin Satellite h Earth a. Show that h =1"(csc:5l 1). 1}. Using 1' = gTS Ion, nd the average rate of change of the distance from the satellite to the surface of the Earth, when 5' changes 'orn sf 4 to swig. TWhat are the units? c. At what rate is the distance it changing when if? = rt! 6