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

Answer:

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

Step-by-step explanation:

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

$k = \frac{9\,in}{60\,ft}$

$k = \frac{3\,in}{20\,ft}$

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

$h_{s} = \left(\frac{3\,in}{20\,ft} \right)\cdot (200\,ft)$

$h_{s} = 30\,in$

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