anonymous
  • anonymous
Alice takes a picture of the Queen during their trip to wonderland. The Queen is 168cm tall and is 2.1 meters away from the camera lens. The film is 3cm from the lens. How tall is the Queen's image on the film to the nearest tenth of a centimeter?
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
if the lens is assumed to just flip and not distort the picture this is similar triangles
amistre64
  • amistre64
210 cm = 2.1 m right?
anonymous
  • anonymous
I believe so

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anonymous
  • anonymous
first you need to convert the meters into centimeters i think that would be easier. so that would be 210 meter. i will draw a picture to help with the rest.
amistre64
  • amistre64
3 x ---- = --- 210 168
amistre64
  • amistre64
x = 84/35
amistre64
  • amistre64
2.4 cm
anonymous
  • anonymous
thanks :)
amistre64
  • amistre64
i wanna see how good of an artist reja is :)
anonymous
  • anonymous
then you take 168 by 210 ---- ---- x 3 you simply cross multiply and divide so it will be 210x by 504. you then divide 210 to get "x" alone which will come out to be 2.4 2.4 will be what x equals
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amistre64
  • amistre64
pretty good.....pretty good :)
anonymous
  • anonymous
thanks :)
anonymous
  • anonymous
sorry it took so long.
amistre64
  • amistre64
it took as long as it took :)

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