PHYSICS

JAMB 2012 - Question 31

Physics 2012 JAMB Past Questions - Question 31: A pinhole camera is placed 300m in front of a building so that the image is formed on a screen 5cm from the pinhole .If the image is 2.5cm high ,the height of the building will be

Choose the correct answers from the options given.
A pinhole camera is placed 300m in front of a building so that the image is formed on a screen 5cm from the pinhole .If the image is 2.5cm high ,the height of the building will be
A:
B:
C:
D:
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Correct Answer

D

Explanation

To find the height of the building, we can use similar triangles and the concept of similar triangles in geometry.

Let's denote the height of the building as 'H'. We can set up the following proportion:

(H / 300) = (2.5 / 5)

Cross-multiplying, we get:

2.5 * 300 = 5 * H

750 = 5H

Dividing both sides by 5, we find:

H = 750 / 5

H = 150

Therefore, the height of the building is 150 meters.