Depth of Field When a large-view camera is used to take a

Chapter 6, Problem 49

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Depth of Field When a large-view camera is used to take a picture of an object that is not parallel to the film, the lens board should be tilted so that the planes containing the subject, the lens board, and the film intersect in a line. This gives the best depth of field. See the figure. (Source: Bushaw, D., et al., A Sourcebook of Applications of School Mathematics, Mathematical Association of America.) (a) Write two equations, one relating a, x, and z, and the other relating b, x, y, and z. (b) Eliminate z from the equations in part (a) to get one equation relating a, b, x, and y. (c) Solve the equation from part (b) for a. (d) Solve the equation from part (b) for b. 5