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: $scale\ factor=230$

Step-by-step 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:

$projected\ heigth=(4.6\ m)(\frac{100\ cm}{1\ m})\\\\projected\ heigth= 460\ cm$

Therefore, the scale factor will be:

$scale\ factor=\frac{projected\ heigth}{actual\ heigth}$

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:

$scale\ factor=\frac{460\ cm}{2\ cm}\\\\scale\ factor=230$