The basic shape of an elliptical reflector is a

Chapter 11, Problem 51

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The basic shape of an elliptical reflector is a hemi-ellipsoid of height h and diameter k, as shown in the figure. Waves emitted from focus F will reflect off the surface into focus . (a) Express the distances and in terms of h and k. (b) An elliptical reflector of height 17 centimeters is to be constructed so that waves emitted from F are reflected to a point that is 32 centimeters from V. Find the diameter of the reflector and the location of F.

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