Question

The projected T. rex is about

10 meters long and 4.6 m tall. If
the actual image of the T. rex on the
projector lens is only 2 centimeters
tall, what is the scale factor for the
projection?

Answer 1

Answer:
`scale\ factor=230`

Explanation:

You need to analize all the information given in the exercise.

You know that the actual height of the T-rex on the projector lens is the following:

`actual\ height=2\ cm`

The height of the projected T-rex is:

`projected\ height=4.6\ m`

Make the conversion from meters to centimeters:

`projected\ heigth=(4.6\ m)((100\ cm)/(1\ m))\\\\projected\ heigth= 460\ cm`

Therefore, the scale factor will be:

`scale\ factor=(projected\ heigth)/(actual\ heigth)`

Finally, you must substitute values into the equation and then you must evaluate in order to find the scale factor of the projection. You get that this is:

`scale\ factor=(460\ cm)/(2\ cm)\\\\scale\ factor=230`