A man 1.8m tall stands 3m away from a pin hole camera. If the distance between the pin hole and the screen of the camera is 0.3m. Calculate the height of th...
Question 1 Report
A man 1.8m tall stands 3m away from a pin hole camera. If the distance between the pin hole and the screen of the camera is 0.3m. Calculate the height of the image of the man produced by the camera
Answer Details
The pinhole camera model assumes that light travels in straight lines and that the aperture is so small that the light rays pass through it in parallel lines. Based on this model, we can use the similar triangle relationship between the object and image to find the height of the image produced.
We have a right-angled triangle with the object, pinhole and screen of the camera as the vertices. Let's call the height of the man "h" and the height of the image "h'".
From the triangle, we have:
h / 3m = h' / 0.3m
Cross-multiplying, we get:
h' = (h / 3) x 0.3
Substituting h = 1.8m, we get:
h' = (1.8 / 3) x 0.3 = 0.18m
Therefore, the height of the image of the man produced by the camera is 0.18m. The correct option is (a) 0.18m.
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