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? 12 meters

Answer 1

15 meters

Create an inequality that looks like this:

3/4.5 = 10/x

Then cross multiply and solve for x.