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 10m =3m ht

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

What you would do is set the numbers into fractions so that they can be set equal to each other(using a little algebra you solve for x. Basically what you are doing is making it so that the proportion for height and distance away are equal to the same fraction. The easiest way to set it up would be to probably take the height of the image over the distance away from the screen. So to set it up you would set 3/10 = 4.5/x (solve for X) message back if you need any additional help :)

Answer 2

Let x = maximum distance in meters

 

3 meters       4.5 meters

------------ = -----------

10 meters          x

 

Cross multiply

3x = 4.5(10)

3x = 45

 

x=15 meters