A pinhole camera is placed 300m in front of a building so that the image is formed on a screen 5cm from the the pinhole. If the image is 2.5cm high, the hei...

Answer Details

To find the height of the building, we can use the principle of similar triangles. The ratio of the height of the building to the distance from the pinhole to the building is equal to the ratio of the height of the image to the distance from the pinhole to the screen. So, we can write the following equation: (height of building) / (distance from pinhole to building) = (height of image) / (distance from pinhole to screen) Plugging in the given values, we get: (height of building) / 300m = 2.5cm / 5cm Solving for the height of the building, we get: (height of building) = (2.5cm / 5cm) * 300m Since 1 meter is equal to 100 cm, we can convert the answer to meters: (height of building) = (2.5 / 5) * 300 * (100 cm/m) = 150m So, the height of the building is 150 meters.