3. A satellite with a scanning sensor orbits the Earth at an altitude of 800 km. The sensor scans over an angular range of 0, normal to its ground track (see sketch below). The nadir direction is 0,= 0. (a) Assuming that the Earth is a sphere of radius 6.371 x 103, what is the maximum scan angle (0) at which the sensor can view the Earth's surface? (1 POINT) (b) If = 55, what is the angle of incidence of the sensor's field of view at the Earth's surface? (1 POINT) Satellite R 1 1 1 1 Earth R N Local Horizon Satellite R Earth R h = 800 km R = 6371 km Local Horizon e satellite scan angle e- elevation angle e e incidence angle