Question

2. A movie projector positioned 54 feet from a wall creates an image that 9 feet wide on the wall. If a screen is placed 27 feet in front of the projector,what will be the width of the image on the screen? *Your answerThis is a required question

Answer 1

Step-by-step explanation:

We can do a diagram of this problem first:

We have two similar triangles. One formed with the projector and the wall and another formed by the proyector and the screen.

The screen is half the distance from the projector to the wall away from the projector:

`(27)/(54)=(1)/(2)`

And since these triangles are similar (AA postulate), the ratio between the sides must be constant, therefore the image on the screen has to be half the width of the image on the wall:

`(9)/(2)=4.5ft`

Answer:

The image on the screen is 4.5 feet wide