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Mathematics, 22.10.2019 04:00 ohartshorn3670

Three-dimensional objects are projected onto screens with finite dimensions, it often limits the field of view
(fov), or the angle the scene represents. this limiting effect can vary based on the size of the screen and position
of the observer.
a. sketch a diagram that could be used to calculate a viewer’s field of view theta in relation to the horizontal width
of the screen w and the distance the viewer is from the screen
b. assume that a person is sitting directly in front of a television screen whose width is 48 inches at a distance
of 8 feet from the screen. use your diagram and right-triangle trigonometry to find the viewer’s horizontal
field of view theta.
c. how far would a viewer need to be from the middle of a computer screen with a width of 15 inches to produce
the same field of view as the person in front of the television?
d. write a general statement about the relationship between screen size and field of view.

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