Question

When a projector is placed 10 meters from a screen as shown, it produces an image 3 meters high. If the tallest image that the projector can produce without distortion is 4.5 meters high, what is the maximum distance the projector can be placed from the screen?

Answer 1

To get the maximum distance, you first use the given numbers as basis.

10 meters/3 meters =x/4.5 meters

Where x = the maximum distance the projector can be placed that can produce an image 4.5 meters high

3x = 10 (4.5)

3x = 45

X= 45/3

X= 15 meters

So, the maximum distance that the projector can be placed from the screen which produces an image 4.5 meters high is 15 meters.