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a-pinhole-camera-is-placed-300cm-in-front-of-a-building-so-that-the-image-is-formed-on-a-screen-5cm-from-the-pin-hole-if-the-image-is-2-5cm-high-the-height-of-the-building-will-be-




Question Number 132900 by aurpeyz last updated on 17/Feb/21
a pinhole camera is placed 300cm  in front of a building so that the image  is formed on a screen 5cm from the  pin hole. if the image is 2.5cm high.  the height of the building will be?
$${a}\:{pinhole}\:{camera}\:{is}\:{placed}\:\mathrm{300}{cm} \\ $$$${in}\:{front}\:{of}\:{a}\:{building}\:{so}\:{that}\:{the}\:{image} \\ $$$${is}\:{formed}\:{on}\:{a}\:{screen}\:\mathrm{5}{cm}\:{from}\:{the} \\ $$$${pin}\:{hole}.\:{if}\:{the}\:{image}\:{is}\:\mathrm{2}.\mathrm{5}{cm}\:{high}. \\ $$$${the}\:{height}\:{of}\:{the}\:{building}\:{will}\:{be}? \\ $$
Commented by mr W last updated on 17/Feb/21
supposed you don′t mean a real  building for human, but a dog house.   (x/(300))=((2.5)/5)  ⇒x=150 cm  the height of dog house is 150cm.
$${supposed}\:{you}\:{don}'{t}\:{mean}\:{a}\:{real} \\ $$$${building}\:{for}\:{human},\:{but}\:{a}\:{dog}\:{house}.\: \\ $$$$\frac{{x}}{\mathrm{300}}=\frac{\mathrm{2}.\mathrm{5}}{\mathrm{5}} \\ $$$$\Rightarrow{x}=\mathrm{150}\:{cm} \\ $$$${the}\:{height}\:{of}\:{dog}\:{house}\:{is}\:\mathrm{150}{cm}. \\ $$

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