Question

Amber is making a scale drawing of a movie screen. Her local theater is 60 ft wide and 200 ft tall in her scale drawing the screen has a width of 9 inches what will the height of her screen on her drawing be

Answer 1

The height of her screen on her drawing must be 30 inches.

Explanation:

The scale factor is obtained by dividing the drawn width by real width of the movie screen:

`k = (9\,in)/(60\,ft)`

`k = (3\,in)/(20\,ft)`

The drawn height of movie screen is the product of the scale factor and the real height of the movie screen:

`h_(s) = \left((3\,in)/(20\,ft) \right)\cdot (200\,ft)`

`h_(s) = 30\,in`

The height of her screen on her drawing must be 30 inches.