Question

the scale from a stadium video screen to this drawing of the video screen is 9 ft to 1 in. the scale from the same video screen to a second drawing of the video screen is 6 ft to 1 in. h = 3.5 in. w = 8.5 in. what is the height of the second drawing of the video screen? use the number pad to enter your answer in the box.

Explanation:

Step1: Find actual height of video - screen

The first - scale is 9 ft to 1 in and the height of the first drawing is 3.5 in. So the actual height $H$ of the video - screen is calculated by multiplying the height of the first drawing by the scale factor.
$H = 3.5\times9=31.5$ ft

Step2: Find height of second drawing

The second - scale is 6 ft to 1 in. Let the height of the second drawing be $h_2$. We know that $\frac{H}{h_2}=6$. So $h_2=\frac{H}{6}$.
Substitute $H = 31.5$ ft into the formula: $h_2=\frac{31.5}{6}=5.25$ in

Answer:

5.25