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Something to think about…

Explore transformation geometry and enlargements in film projection; calculate the scale factor and width of a building projected onto a cinema screen. Discover the math behind light projection and image sizing.

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Something to think about…

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  1. Something to think about… Chapter 13 : Geometry IV – Transformation Geometry and Enlargements Page 252

  2. Question posed: A light bulb in a movie projector lights a film strip and projects a 6 m tall image of a rectangular building onto a cinema screen. If the image on the film is 23 mm tall and mm wide, what is the scale factor and how wide is the building on the screen? Give your answer correct to the nearest whole number. Chapter 13 : Geometry IV – Transformation Geometry and Enlargements (page 252)

  3. Suggested solution: Scale Factor Object = the image on the film Image = the image on the screen Object height = 23 mm Image height = 6 m = 6 × 1000 mm = 6000 mm Chapter 13 : Geometry IV – Transformation Geometry and Enlargements (page 252)

  4. Suggested solution: Width of the building on the screen Object = the image on the film Image = the image on the screen Width of the building on the screen = 3,704 mm = 4 m (to the nearest whole number) Chapter 13 : Geometry IV – Transformation Geometry and Enlargements (page 252)

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