Question: (a) Show that an observer at height H above the north pole of a sphere of radius can see a part of the sphere that

(a) Show that an observer at height H above the north pole of a sphere of radius can see a part of the sphere that has area

(b) Two spheres with radii and R are placed so that the distance between their centers is d, where d > r + R. Where should a light be placed on the line joining the centers of the spheres in order to illuminate the largest total surface?

2mr H

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a Since the right triangles OAT and OTB are similar we have T H d dy dx S 2nx1 dxdy dy From x y r we ... View full answer

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