\"\"

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(a)

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In a laser projection system, the optical or scanning angle \"\" is related to the throw distance \"\" from the scanner to the screen and the projected image width \"\"  by the equation.

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\"\".

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\"\"

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\"\"

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Apply Half-angle formula:  \"\".

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\"\".

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\"\"

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(b)

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Consider \"\".

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Throw distance \"\" and  projected image width is \"\" .

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Substitute corresponding values in \"\".

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\"\"

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\"\"

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\"\".

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Optical angle is \"\".

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\"\"

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(a) \"\".

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(b) Optical angle is \"\".